{"id":23956,"date":"2023-02-07T10:15:03","date_gmt":"2023-02-07T10:15:03","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=23956"},"modified":"2024-02-05T15:34:37","modified_gmt":"2024-02-05T15:34:37","slug":"relatively-prime","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/relatively-prime","title":{"rendered":"Relatively Prime"},"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-5997c8dc-7f19-4a7e-942e-240b0b17de36\" 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\/relatively-prime#0-relatively-prime-numbers-introduction>Relatively Prime Numbers: Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/relatively-prime#1-what-are-relatively-prime-numbers>What are Relatively Prime Numbers?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/relatively-prime#2-how-to-find-relatively-prime-numbers->How to Find Relatively Prime Numbers<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/relatively-prime#6-solved-examples->Solved Examples&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/relatively-prime#7-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/relatively-prime#8-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-relatively-prime-numbers-introduction\">Relatively Prime Numbers: Introduction<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We know that a prime number is a number that has only two factors, 1 and the number itself. So, what are relatively prime numbers? What does relatively prime mean? Numbers that have 1 as the only common factor are said to be relatively prime. Relatively prime numbers need not be prime numbers!<\/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\/choose-the-prime-number-out-of-the-given-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\/algebra_understanding_prime_num_pt.png\" alt=\"Choose the Prime Number Out of the Given 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\">Choose the Prime Number Out of the Given 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\/identify-the-number-which-is-not-a-prime\" 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\/algebra_not_prime_pt.png\" alt=\"Identify the Number Which is Not a Prime 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\">Identify the Number Which is Not a Prime 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\/identify-the-prime-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\/algebra_identify_prime_num_pt.png\" alt=\"Identify the Prime 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\">Identify the Prime 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\/select-all-the-prime-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\/algebra_select_prime_num_pt.png\" alt=\"Select All the Prime 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\">Select All the Prime 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><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                    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=\"1-what-are-relatively-prime-numbers\">What are Relatively Prime Numbers?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When two numbers have no common factors other than 1, they are said to be relatively prime. In other words, no number other than 1 can divide them both exactly (without any remainder).&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Relatively prime numbers are also called \u201ccoprime numbers\u201d or \u201cmutually prime numbers.\u201d<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Two numbers m and n are said to be relatively prime if GCF(a,b) $= 1$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In that case, the pair (a, b) is called a relatively prime pair.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: 5, 7 are relatively prime since GCF $(5,7) = 1$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The two numbers that are relatively prime may be prime or composite. Two composite numbers can also be relatively prime. But the common factor of both the numbers is none other than \u201c1.\u201d<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Consider an example. What are the common factors between 9 and 25?<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The only common factor of 9 and 25 is 1.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, 9 and 25 are relatively prime.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Note that 9 and 25 are composite numbers (not prime numbers!).<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 1: <strong>15 and 16<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"474\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/Identifying-15-and-16-as-relatively-prime-numbers.png\" alt=\"Identifying 15 and 16 as relatively prime numbers\" class=\"wp-image-34554\" title=\"Identifying 15 and 16 as relatively prime numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/Identifying-15-and-16-as-relatively-prime-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/Identifying-15-and-16-as-relatively-prime-numbers-300x229.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Factors of 15&nbsp; are <strong>1<\/strong>, 3, 5 and 15.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Factors of 16 are <strong>1<\/strong>, 2, 4, 8 and 16.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Common factor of 15 and 16 is only 1.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, 15 and 16 are relatively prime numbers. However, 15 and 16 both are composite numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example 2: <strong>15 and 18<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Factors of 15&nbsp; are 1, 3, 5 and 15.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Factors of 18 are 1, 2, 3, 6, 9, 18.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"474\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/non-example-of-relatively-prime-numbers.png\" alt=\"Non-example of relatively prime numbers\" class=\"wp-image-34555\" title=\"Non-example of relatively prime numbers\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/non-example-of-relatively-prime-numbers.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/non-example-of-relatively-prime-numbers-300x229.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Common factors of 15 are 1 and 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, 15 and 18 are not relatively prime numbers.<\/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\/prime-numbers-within-100\" 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\/prime-numbers-within-100.jpeg\" alt=\"Prime Numbers Within 100\">\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\/prime-numbers-within-20\" 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\/prime-numbers-within-20.jpeg\" alt=\"Prime Numbers Within 20\">\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\/prime-numbers-within-50\" 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\/prime-numbers-within-50.jpeg\" alt=\"Prime Numbers Within 50\">\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=\"2-how-to-find-relatively-prime-numbers-\"><strong>How to Find Relatively Prime Numbers<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">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 wp-block-paragraph\">&nbsp;If the HCF is 1, then the two numbers are said to be relatively primes.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To find the HCF (Highest Common Factor) 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 wp-block-paragraph\"><strong>Example 1: <\/strong>11 and 12<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The factors of 11 are <strong>1<\/strong> and 11.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The factors of 12 are <strong>1<\/strong>, 2, 3, 4, 6 and 12.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, 1 is the only common factor of 11 and 12.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">HCF of $(11, 12) = 1,$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, (11, 12) is relatively prime because only 1 is a common factor.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2:<\/strong><strong> <\/strong>14 and 16<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The factors of 14 are <strong>1, 2<\/strong>, 7, and 14.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The factors of 16 are <strong>1, 2<\/strong>, 4, 8 and 16<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, 1 and 2 are the common factors of 14 and 16.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">HCF $(14, 16) = 1 \\times 2 = 2$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, (14, 16) is not relatively prime.<strong>&nbsp;<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-properties-of-relatively-prime-numbers-\"><strong>Properties of Relatively Prime Numbers<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here are a few properties of relatively prime numbers. You can easily form a \u201clist of relatively prime numbers\u201d using these properties.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Any two consecutive integers are always relatively prime.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: (2, 3) ; (11, 12) ; (21, 22) ; (100, 101) and so on.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Any two prime numbers are relatively prime to each other. As every prime number has only two factors 1 and the number itself, the only common factor of two prime numbers will be 1.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Example: 11 and 13 are two prime numbers. Factors of 11 are 1, 11, and factors of 13 are 1, 13. The only common factor is 1 and hence they are relatively prime.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">If two numbers have 0 and 5 at ones place, then they are not relatively prime to each other.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example: 10 and 15 are not relatively prime since their HCF is 5 (or divisible by 5).<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The sum of two relatively prime numbers is always relatively prime with their product.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;For example, 4 and 5 are relatively prime numbers. Here, $4 + 5 = 9$ is relatively prime with $4 \\times 5 = 20$. As the only common factor of 9 and 20 is 1.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The Least Common Multiple (LCM) of two relatively prime numbers is always equal to their product.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example: LCM of 4 and 5 (relatively prime numbers) $= 20$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">&nbsp;If n is a prime number, then all integers less than or equal to n are relatively prime to n.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">&nbsp;If a and b are two relatively prime numbers, then $a + b$ is relatively prime to $a \\times b$.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">If a and b are relatively prime numbers, then HCF $(a, b) = 1$ and LCM $(a, b) = a \\times b$.&nbsp;&nbsp;<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-fun-facts\">Fun Facts!<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\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\">0 is not relatively prime with any other integer except 1. It is divisible by any integer.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Any two prime numbers are relatively prime.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Any two consecutive numbers are relatively prime.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">A prime number is relatively prime with any other number if the other number is not the multiple of the given prime number.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Two even numbers can never form a relatively prime pair as all the even numbers have a common factor as 2.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Relatively prime numbers don&#8217;t need to be prime numbers. For example, two composite numbers 12 and 35 are relatively prime numbers because their HCF is 1.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Relatively Prime numbers are also called \u201ccoprime\u201d numbers or \u201cmutually prime\u201d numbers.<\/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<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-conclusion-\"><strong>Conclusion<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this article, we learned that two integers are relatively prime if the common factor or the Highest Common Factor (HCF) of the two numbers is \u201c1.\u201d So two consecutives integers are relatively prime.&nbsp; Relatively prime numbers don\u2019t need to be prime numbers. Two composite numbers can be relatively prime.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples-\"><strong>Solved Examples<\/strong><strong>&nbsp;<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1. Check whether 11 and 21 are relatively prime\/co-prime numbers.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Factors of 11 are 1 and 11.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Factors of 21 are 1, 3, 7 and 21.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">They have only 1 as a common factor. Thus, 11 and 21 are relatively prime\/co-prime numbers.<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2. Check whether 13 and 23 are relatively prime\/co-prime numbers.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">13 and 23 both are prime numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">From the property of relatively prime numbers, numbers 13 and 23 are relatively prime numbers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Alternatively, since 13 is a prime number, its factors are 1 and 13 only.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">And 23 is also a prime number, so its factors are 1 and 23 only.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">They have only 1 as a common factor, so 13 and 23 are relatively prime\/co-prime numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. Check whether 155 and 290 are relatively prime\/co-prime numbers.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The given two numbers are 155 and 290.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">155 and 290 are divisible by 5, as the last digit of the numbers are 5 and 0 respectively.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">From the properties of relatively prime numbers, 155 and 290 are not relatively prime.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Alternatively,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$155 = 1 \\times 5 \\times 31$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$290 = 1 \\times 2 \\times 5 \\times 29$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">HCF $(155, 290) = 1 \\times 5 = 5 \\neq 1$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, 155 and 290 are not relatively prime.<strong>&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>4. Check whether 200 and 201 are relatively prime\/co-prime numbers.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Numbers 200 and 201 are consecutive integers.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, 200 and 201 are relatively prime\/co-prime numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>5. If a and b are two relatively prime numbers whose lowest common multiple is 195. If a = 15, what is the value of b?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The Least Common Multiple (LCM) of two relatively prime numbers is always equal to their product.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, $a \\times b = 195$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$15 \\times b = 195$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$b = \\frac{195}{15}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$b = 13$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Relatively Prime<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which among the following is relatively prime with 16?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2<\/div><div class=\"spq_answer_block\" data-value=\"1\">3<\/div><div class=\"spq_answer_block\" data-value=\"2\">4<\/div><div class=\"spq_answer_block\" data-value=\"3\">8<\/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: 3<br\/>Two even numbers can never be relatively prime.<br>\r\n2, 4, 8, and 16 all are even numbers. So, the number relatively prime with 16 is 3.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following pairs of numbers are relatively prime?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">11, 39<\/div><div class=\"spq_answer_block\" data-value=\"1\">30, 51<\/div><div class=\"spq_answer_block\" data-value=\"2\">3, 18<\/div><div class=\"spq_answer_block\" data-value=\"3\">4, 16<\/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: 11, 39<br\/>Numbers 11 and 39 have no common factors other than 1.  So, 11 and 39 are relatively prime numbers.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If two numbers, a and b, are relatively prime, what is the Highest Common Factor (HCF) of a and b?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">2<\/div><div class=\"spq_answer_block\" data-value=\"3\">3<\/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\/>Two numbers are relatively prime, when their Highest Common Factor (HCF) is 1. So, the Highest Common Factor (HCF) of a and b is 1.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Which of the following numbers cannot be identified as relatively prime?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Consecutive Integers<\/div><div class=\"spq_answer_block\" data-value=\"1\">Two even numbers<\/div><div class=\"spq_answer_block\" data-value=\"2\">Two prime numbers<\/div><div class=\"spq_answer_block\" data-value=\"3\">m, n where GCD(m,n) $= 1$<\/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: Two even numbers<br\/>Two even numbers can never be relatively prime since they have a common factor 2.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Relatively Prime\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Relatively Prime\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which among the following is relatively prime with 16?\",\n                    \"text\": \"Which among the following is relatively prime with 16?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Two even numbers can never be relatively prime.<br>\r\n2, 4, 8, and 16 all are even numbers. 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So, the number relatively prime with 16 is 3.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following pairs of numbers are relatively prime?\",\n                    \"text\": \"Which of the following pairs of numbers are relatively prime?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Numbers 11 and 39 have no common factors other than 1.  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So, 11 and 39 are relatively prime numbers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3, 18\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Numbers 11 and 39 have no common factors other than 1.  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\"encodingFormat\": \"text\/html\",\n                                \"text\": \"Consecutive Integers\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two even numbers can never be relatively prime since they have a common factor 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Two prime numbers\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two even numbers can never be relatively prime since they have a common factor 2.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"m, n where GCD(m,n) $$= 1$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two even numbers can never be relatively prime since they have a common factor 2.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Two even numbers\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Two even numbers can never be relatively prime since they have a common factor 2.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Two even numbers can never be relatively prime since they have a common factor 2.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\" 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-0-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\"><strong>Is 0 relatively prime to any number?<\/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-0-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The numbers 1 and $-1$ are the only integers coprime to 0.<\/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-1-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\"><strong>Are 0 and 1 relatively prime 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-1-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Yes, 0 and 1 are relatively prime numbers, as the only common factor of 0 and 1 is 1.<\/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-2-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\"><strong>What is the difference between prime numbers and relatively prime 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-2-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A prime number is a number that has no factor other than 1 and itself. And relatively prime numbers are those pairs of numbers, whose common factor is 1.<\/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-3-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\"><strong>What is the difference between twin prime numbers and relative prime 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-3-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A twin prime is a pair of prime numbers, such that the difference between the two prime numbers is 2. Relatively prime numbers can be any pair of numbers whose highest common factor is 1. That means two composite numbers can be coprime numbers if their HCF is 1.<\/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-4-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\"><strong>Find all the relative prime numbers to 11.<\/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-4-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">All numbers from 1 to 11 are relative primes to 11<strong>.<\/strong><\/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-5-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\"><strong>Is 1 relatively prime to every number?<\/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-5-1459b4d0-04ad-4fe0-8f8b-c4a75dd06ce7\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Yes, 1 is relatively prime (co-prime) to every number.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Relatively Prime Numbers: Introduction We know that a prime number is a number that has only two factors, 1 and the number itself. So, what are relatively prime numbers? What does relatively prime mean? Numbers that have 1 as the only common factor are said to be relatively prime. Relatively prime numbers need not be &#8230; <a title=\"Relatively Prime\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/relatively-prime\" aria-label=\"More on Relatively Prime\">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-23956","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\/23956","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=23956"}],"version-history":[{"count":12,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/23956\/revisions"}],"predecessor-version":[{"id":39934,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/23956\/revisions\/39934"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=23956"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=23956"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=23956"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}