{"id":27223,"date":"2023-04-03T17:50:34","date_gmt":"2023-04-03T17:50:34","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=27223"},"modified":"2024-02-05T16:06:12","modified_gmt":"2024-02-05T16:06:12","slug":"coprime-numbers-definition-steps-list-properties-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/coprime-number","title":{"rendered":"Coprime Numbers: Definition, Steps, List, Properties, Examples"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-79d5b0b2-8ce6-4a2c-9dbd-f9a4552470bd\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/coprime-number#0-what-are-coprime-numbers>What Are Coprime Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/coprime-number#2-how-to-find-coprime-numbers>How to Find Coprime Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/coprime-number#5-properties-of-coprime-numbers>Properties of Coprime Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/coprime-number#9-solved-examples-on-coprime-numbers>Solved Examples on Coprime Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/coprime-number#10-practice-problems-on-coprime-numbers>Practice Problems on Coprime Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/coprime-number#11-frequently-asked-questions-on-coprime-numbers>Frequently Asked Questions on Coprime Numbers<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-are-coprime-numbers\">What Are Coprime Numbers?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Prime numbers have only two common factors\u20141 and the number itself. Likewise, <strong>coprime numbers are the numbers that have 1 as the only common factor.<\/strong> Additionally, we can state that a set of numbers is coprime if their highest common factor (HCF) is 1.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example: Are 9 and 5 coprime?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 5: <strong>1<\/strong>, 5&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 9: <strong>1<\/strong>, 3, 9&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Common factor of 5 and 9: <strong>1<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, 5 and 9 are coprime.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"382\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/common-factors-of-5-and-9.png\" alt=\"Common factors of 5 and 9\" class=\"wp-image-35788\" title=\"Common factors of 5 and 9\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/common-factors-of-5-and-9.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/common-factors-of-5-and-9-300x185.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"1-coprime-numbers-definition\">Coprime Numbers: Definition<\/h3>\n\n\n\n<p class=\"eplus-wrapper\"><strong>When a pair of numbers have a common factor of 1, the two numbers are called coprime numbers. Coprime numbers are also known as \u201crelatively prime numbers\u201d or \u201cmutually prime numbers.\u201d&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Remember that two numbers do not have to be prime numbers to be coprime numbers. Coprime numbers can also be composite numbers (a number with more than two factors) if their common factor is 1.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here are some examples of coprime numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1:<\/strong> <strong>3 and 16<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 3: 1, 3&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 16: 1, 2, 4, 8, 16&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, the only common factor between 3 and 16 is 1.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF$(3, 16) = 1$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, 3 and 16 are both coprime numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: Are 6 and 9 coprime?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 6: 1, 3, 6&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 9: 1, 3, 9<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Common factors: 1, 3<\/p>\n\n\n\n<p class=\"eplus-wrapper\">GCD $(6,9) = 3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, 6 and 9 are not coprime.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/10-and-100-more-than-the-same-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_1_10_100_more_same_num_pt.png\" alt=\"10 and 100 More than the Same Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">10 and 100 More than the Same Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_make_10_pt.png\" alt=\"Add 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-10-to-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_10_number_pt.png\" alt=\"Add 10 to a 3-Digit Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 10 to a 3-Digit Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-100-to-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_100_horizontal_pt.png\" alt=\"Add 100 to a 3-Digit Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 100 to a 3-Digit Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-numbers-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit Numbers By Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_pt.png\" alt=\"Add 3 Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-in-any-order\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers in Any Order Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-groups-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Using Groups of Objects Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_using_models_pt.png\" alt=\"Add 3 Numbers using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-how-to-find-coprime-numbers\">How to Find Coprime Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">According to the definition of coprime numbers, the provided set of numbers will be coprime if there is only one common factor between them, which is 1.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To find whether two numbers are relatively prime or not, we find the Highest Common Factor (HCF) (or Greatest Common Divisor GCD) of the given numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If the HCF is 1, then the two numbers are said to be relatively prime numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To find the HCF of two numbers, we first list all the factors and then identify the highest common factor out of those.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example: Check whether 4 and 5 are coprime<\/strong>.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 4: <strong>1<\/strong>, 2, 4<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 5: <strong>1<\/strong>, 5<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF $(4, 5) = 1$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, 4 and 5 are coprime since their HCF is 1.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number.jpeg\" alt=\"10 and 100 More than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/100-more-and-100-less-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/100-more-and-100-less-than-a-3-digit-number.jpeg\" alt=\"100 More and 100 Less than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/100-more-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/100-more-than-a-3-digit-number.jpeg\" alt=\"100 More than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers.jpeg\" alt=\"Add & Subtract Ones & 2-Digit Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Find the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-match-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Match the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a 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1 Digit and 3 Digit Numbers Using Number Charts\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-place-value\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-place-value.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Place Value\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-steps-to-find-coprime-numbers\">Steps to Find Coprime Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Here are some easy steps that we can follow to determine whether the given set of numbers is coprime or not:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 1:<\/strong> List the factors of each number.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 2:<\/strong> Identify all the common factors shared among the specified numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Step 3:<\/strong> Next, find the factor with the greatest common denominator (or HCF). If it is 1, the specified numbers are coprime; otherwise, they are not.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: Are the numbers 9 and 14 coprime?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 9: 1, 3, 9<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 14: 1, 2, 7, 14.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">1 is the common factor shared between 9 and 14<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since the greatest common denominator (or HCF) is 1, 9, and 14 are coprime numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: Check if 15 and 14 are coprime.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 15: 1, 3, 5, 15&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 14: 1, 2, 7, 14<\/p>\n\n\n\n<p class=\"eplus-wrapper\">1 is the common factor shared between 15 and 14.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since the greatest common denominator (or HCF) is 1, 15, and 14 are coprime numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3: Are 11 and 19 coprime?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 11: 1, 11&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 19: 1, 19<\/p>\n\n\n\n<p class=\"eplus-wrapper\">1 is the common factor shared between 11 and 19.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since the GCD is 1, the numbers 11 and 19 are coprime numbers.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-list-of-coprime-numbers\">List of Coprime Numbers<\/h2>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td><strong>Number<\/strong><\/td><td><strong>Coprime Number Pairs<\/strong><\/td><\/tr><tr><td>1<\/td><td>(1, 3), (1, 4), (1, 5)&nbsp; (1, 6), (1, 7), (1, 8), \u2026, (1, 60), \u2026<\/td><\/tr><tr><td>2<\/td><td>(2, 3), (2, 5), (2, 7), (2, 9), (2, 11), \u2026, (2, 27), \u2026<\/td><\/tr><tr><td>3<\/td><td>(3, 4), (3, 5), (3, 7), (3, 10), (3, 11), &#8230;, (3, 20), \u2026<\/td><\/tr><tr><td>4<\/td><td>(4, 5), (4, 7), (4, 9), (4, 11), (4, 13), (4, 15), \u2026<\/td><\/tr><tr><td>5<\/td><td>(5, 6), (5, 7), (5, 8), (5, 9), (5, 11), (5, 12), &#8230;<\/td><\/tr><tr><td>6<\/td><td>(6, 7), (6, 11), (6, 13), (6, 16), (6, 17), (6, 19), &#8230;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-properties-of-coprime-numbers\">Properties of Coprime Numbers<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">&nbsp;If the GCF of any two numbers is 1, then the numbers are coprime numbers.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Two consecutive numbers are always coprime numbers.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">For example: (3, 4), (5, 6), (8, 9), (11, 12) (21, 22), (37, 38), (58, 59), (99, 100), &#8230;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The number 1 is coprime with any other number.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">For example: (1, 2), (1, 3), (1, 10), (1, 35), (1, 587), (1, 9999), &#8230;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Since two even numbers always have two common factors, 1 and 2, they can never be coprime numbers.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">For example: (2, 4), (6, 10), (12, 22), (16, 24), (80, 100). None of these combinations are coprime numbers.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The sum and the product of two coprime numbers will always be coprime.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">For example: $(6, 7);\\; 6 + 7 = 13$ &amp; $6 7 = 42$. Consequently, (13, 42) is a pair of coprime numbers.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The product of two coprime numbers will always be their Least Common Multiple (LCM).<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">For example: (11, 13) Here, 11 and 13 are coprime numbers, and their LCM is $11\\times13 = 143$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Because prime numbers only share one common factor, 1, any two prime numbers are always coprime. So, are all prime numbers coprime? Yes!&nbsp;&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">For example: (11, 13), (17, 19)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, all of these pairs share only one factor, or 1. Therefore, each of these prime numbers is coprime.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-coprime-numbers-from-1-to-100\">Coprime Numbers from 1 to 100<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">From 1 to 100, you can find several coprime numbers that follow the properties mentioned above. These are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table eplus-wrapper\"><table class=\"wj-table-class\"><tbody><tr><td>(13, 14)<\/td><td>(2, 9)&nbsp;<\/td><td>(28, 57)&nbsp;<\/td><td>(1, 99)&nbsp;<\/td><td>(13, 15)<\/td><\/tr><tr><td>(4, 97)&nbsp;<\/td><td>(39, 40)<\/td><td>(46, 67)&nbsp;<\/td><td>(75, 41)&nbsp;<\/td><td>(87, 89)<\/td><\/tr><tr><td>(99, 100)<\/td><td>(17, 19)<\/td><td>(13, 42)<\/td><td>(12, 35)<\/td><td>(9, 25)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In addition, any number paired with 1 forms a coprime pair, such as (1, 2), (1, 3), &#8230;, (1, 99), (1, 100). Thus, there are many coprime numbers from 1 to 100.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-facts-about-coprime-numbers\">Facts about Coprime Numbers<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">It is not necessary that coprime numbers must be prime numbers. Two composite numbers can also be coprime. Example: (9, 25), (12, 35)<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Two even numbers are never coprime.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">1 is relatively prime with every number even itself.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">0 and 1 are relatively prime numbers, as the common factor is 1.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The Least Common Multiple (LCM) of two relatively prime numbers is always equal to their product.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Any two prime numbers are always coprime.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Any two consecutive numbers are coprime.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In this article, we have learned that coprime numbers are those whose HCF equals 1. Furthermore, it should be mentioned that coprime numbers need not be prime numbers. Let\u2019s practice some examples to get a better understanding of coprime numbers.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-solved-examples-on-coprime-numbers\">Solved Examples on Coprime Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: Are 5 and 9 coprime numbers?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">To check whether 5 and 9 are coprime numbers, find the HCF (Highest Common Factor) of both numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 5: 1, 5<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 9: 1, 3, 9<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since the highest common multiple between 5 and 9 is number 1. Thus, these are coprime numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: Verify whether 350 and 148 are coprime numbers or not.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Firstly, write down all the factors of 250 and 148.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 148: <strong>1, 2<\/strong>, 4, 37, 74, 148<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Factors of 350: <strong>1, 2,<\/strong> 5, 7, 10, 14, 25, 35, 50, 70, 175, 250<\/p>\n\n\n\n<p class=\"eplus-wrapper\">HCF $(148, 350) = 2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">350 and 148 are not coprime numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3: Are 40 and 78 coprime?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">40 and 78 are both even numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since two even numbers always have two common factors, 1 and 2, they can never be coprime numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, 40 and 78 are not coprime numbers.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-practice-problems-on-coprime-numbers\">Practice Problems on Coprime Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Coprime Numbers: Definition, Steps, List, Properties, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the LCM of 8 and 21?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">168<\/div><div class=\"spq_answer_block\" data-value=\"1\">12<\/div><div class=\"spq_answer_block\" data-value=\"2\">1<\/div><div class=\"spq_answer_block\" data-value=\"3\">19<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 168<br\/>Since 8 and 21 are coprime numbers, their LCM will be the final product of the two numbers.<br>\r\n$8\\times21 = 168$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the HCF of 89 and 90?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">90<\/div><div class=\"spq_answer_block\" data-value=\"1\">89<\/div><div class=\"spq_answer_block\" data-value=\"2\">8010<\/div><div class=\"spq_answer_block\" data-value=\"3\">1<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 1<br\/>89 and 90 are consecutive numbers, and thus, coprime numbers.<br>\r\nSince 89 and 90 are coprime numbers, their HCF will be number 1.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following pairs is not a coprime number?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">56, 78<\/div><div class=\"spq_answer_block\" data-value=\"1\">17, 19<\/div><div class=\"spq_answer_block\" data-value=\"2\">23, 27<\/div><div class=\"spq_answer_block\" data-value=\"3\">99, 100<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 56, 78<br\/>56 and 78 are both even numbers. Thus, they are not coprime numbers.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Two ______ can never be coprime numbers.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">prime numbers<\/div><div class=\"spq_answer_block\" data-value=\"1\">consecutive numbers<\/div><div class=\"spq_answer_block\" data-value=\"2\">even numbers<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: even numbers<br\/>Two even numbers are never coprime since their common factors are 1 and 2.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": 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             \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Since 8 and 21 are coprime numbers, their LCM will be the final product of the two numbers.<br>\r\n$$8\\\\times21 = 168$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since 8 and 21 are coprime numbers, their LCM will be the final product of the two numbers.<br>\r\n$$8\\\\times21 = 168$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since 8 and 21 are coprime numbers, their LCM will be the final product of the two numbers.<br>\r\n$$8\\\\times21 = 168$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"19\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since 8 and 21 are coprime numbers, their LCM will be the final product of the two numbers.<br>\r\n$$8\\\\times21 = 168$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"168\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Since 8 and 21 are coprime numbers, their LCM will be the final product of the two numbers.<br>\r\n$$8\\\\times21 = 168$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Since 8 and 21 are coprime numbers, their LCM will be the final product of the two numbers.<br>\r\n$$8\\\\times21 = 168$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the HCF of 89 and 90?\",\n                    \"text\": \"What is the HCF of 89 and 90?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"89 and 90 are consecutive numbers, and thus, coprime numbers.<br>\r\nSince 89 and 90 are coprime numbers, their HCF will be number 1.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"89 and 90 are consecutive numbers, and thus, coprime numbers.<br>\r\nSince 89 and 90 are coprime numbers, their HCF will be number 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"89\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"89 and 90 are consecutive numbers, and thus, coprime numbers.<br>\r\nSince 89 and 90 are coprime numbers, their HCF will be number 1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8010\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"89 and 90 are consecutive numbers, and thus, coprime numbers.<br>\r\nSince 89 and 90 are coprime numbers, their HCF will be number 1.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"89 and 90 are consecutive numbers, and thus, coprime numbers.<br>\r\nSince 89 and 90 are coprime numbers, their HCF will be number 1.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"89 and 90 are consecutive numbers, and thus, coprime numbers.<br>\r\nSince 89 and 90 are coprime numbers, their HCF will be number 1.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following pairs is not a coprime number?\",\n                    \"text\": \"Which of the following pairs is not a coprime number?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"56 and 78 are both even numbers. Thus, they are not coprime numbers.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"17, 19\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"56 and 78 are both even numbers. Thus, they are not coprime numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"23, 27\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"56 and 78 are both even numbers. Thus, they are not coprime numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"99, 100\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"56 and 78 are both even numbers. Thus, they are not coprime numbers.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"56, 78\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"56 and 78 are both even numbers. Thus, they are not coprime numbers.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"56 and 78 are both even numbers. Thus, they are not coprime numbers.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Two ______ can never be coprime numbers.\",\n                    \"text\": \"Two ______ can never be coprime numbers.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Two even numbers are never coprime since their common factors are 1 and 2.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"prime numbers\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two even numbers are never coprime since their common factors are 1 and 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"consecutive numbers\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two even numbers are never coprime since their common factors are 1 and 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two even numbers are never coprime since their common factors are 1 and 2.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"even numbers\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Two even numbers are never coprime since their common factors are 1 and 2.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Two even numbers are never coprime since their common factors are 1 and 2.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-frequently-asked-questions-on-coprime-numbers\">Frequently Asked Questions on Coprime Numbers<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-6cc8f517-f04d-417c-be2f-7bcb21397a4c\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-6cc8f517-f04d-417c-be2f-7bcb21397a4c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6cc8f517-f04d-417c-be2f-7bcb21397a4c\"><strong>What distinguishes prime numbers from coprime numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-6cc8f517-f04d-417c-be2f-7bcb21397a4c\">\n\n<p class=\"eplus-wrapper\">Prime numbers can be defined as numbers with just two factors, the number 1 and itself.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Coprime numbers are numbers with only 1 as their common factor. Two composite numbers can also be coprime.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-6cc8f517-f04d-417c-be2f-7bcb21397a4c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6cc8f517-f04d-417c-be2f-7bcb21397a4c\"><strong>Which number always coprime with other numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-6cc8f517-f04d-417c-be2f-7bcb21397a4c\">\n\n<p class=\"eplus-wrapper\">As per the definition and properties of coprime numbers, only 1 can make a pair of coprime numbers with all other numbers or integers.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-6cc8f517-f04d-417c-be2f-7bcb21397a4c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6cc8f517-f04d-417c-be2f-7bcb21397a4c\"><strong>What is the LCM of two coprime numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-6cc8f517-f04d-417c-be2f-7bcb21397a4c\">\n\n<p class=\"eplus-wrapper\">The LCM (Least Common Multiple) of coprime numbers is their product. It is because coprime numbers only share one common factor, number 1.&nbsp;For Example: (2, 3) their LCM will be $2 \\times 3 = 6$.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-6cc8f517-f04d-417c-be2f-7bcb21397a4c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-6cc8f517-f04d-417c-be2f-7bcb21397a4c\"><strong>What are the other terms for coprime numbers?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-6cc8f517-f04d-417c-be2f-7bcb21397a4c\">\n\n<p class=\"eplus-wrapper\">\u201cRelatively prime numbers\u201d and \u201cmutually prime numbers\u201d are other terms for coprime numbers.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are Coprime Numbers? Prime numbers have only two common factors\u20141 and the number itself. Likewise, coprime numbers are the numbers that have 1 as the only common factor. Additionally, we can state that a set of numbers is coprime if their highest common factor (HCF) is 1. Example: Are 9 and 5 coprime? Factors &#8230; <a title=\"Coprime Numbers: Definition, Steps, List, Properties, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/coprime-number\" aria-label=\"More on Coprime Numbers: Definition, Steps, List, Properties, Examples\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-27223","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/27223","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=27223"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/27223\/revisions"}],"predecessor-version":[{"id":39952,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/27223\/revisions\/39952"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=27223"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=27223"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=27223"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}