{"id":28330,"date":"2025-06-20T11:47:56","date_gmt":"2025-06-20T11:47:56","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=28330"},"modified":"2025-06-20T11:47:59","modified_gmt":"2025-06-20T11:47:59","slug":"what-is-the-greatest-common-factor-of-6-9-and-15","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-greatest-common-factor-of-6-9-and-15\/","title":{"rendered":"What is the greatest common factor of 6, 9 and 15"},"content":{"rendered":"\n<p>What is the greatest common factor of 6, 9 and 15<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-light-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><br>The greatest common factor (GCF) of 6, 9, and 15 is <strong>3<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><br>The greatest common factor is the largest number that divides exactly into two or more numbers. To find the GCF of 6, 9, and 15, we follow these steps:<\/p>\n\n\n\n<p><strong>Step 1: Find the factors of each number.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 6: 1, 2, 3, 6<\/li>\n\n\n\n<li>Factors of 9: 1, 3, 9<\/li>\n\n\n\n<li>Factors of 15: 1, 3, 5, 15<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Identify the common factors.<\/strong><br>Looking at all the factors, we see that <strong>1<\/strong> and <strong>3<\/strong> appear in all three lists. So, the common factors of 6, 9, and 15 are <strong>1 and 3<\/strong>.<\/p>\n\n\n\n<p><strong>Step 3: Choose the greatest one.<\/strong><br>Out of the common factors, the greatest one is <strong>3<\/strong>.<\/p>\n\n\n\n<p>Therefore, the greatest common factor of 6, 9, and 15 is <strong>3<\/strong>.<\/p>\n\n\n\n<p>This means that 3 is the largest number that can divide 6, 9, and 15 without leaving a remainder. Knowing how to find the GCF is useful when simplifying fractions, solving problems involving ratios, or factoring expressions in algebra.<\/p>\n\n\n\n<p>Alternatively, we can use the <strong>prime factorization method<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 = 2 \u00d7 3<\/li>\n\n\n\n<li>9 = 3 \u00d7 3<\/li>\n\n\n\n<li>15 = 3 \u00d7 5<\/li>\n<\/ul>\n\n\n\n<p>Each number has a factor of 3. That is the only prime factor they all have in common.<\/p>\n\n\n\n<p>Understanding how to find the GCF improves your number sense and problem-solving ability. It is especially important in reducing fractions to their simplest form or when working with least common multiples. It also appears in many real-life situations such as dividing items equally, making groups, or adjusting recipes. The GCF represents the largest group size that can be made with equal sharing.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-205.jpeg\" alt=\"\" class=\"wp-image-28339\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-205.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-205-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-205-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the greatest common factor of 6, 9 and 15 The Correct Answer and Explanation is: Correct Answer:The greatest common factor (GCF) of 6, 9, and 15 is 3. Explanation:The greatest common factor is the largest number that divides exactly into two or more numbers. To find the GCF of 6, 9, and 15, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-28330","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28330","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=28330"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28330\/revisions"}],"predecessor-version":[{"id":28341,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28330\/revisions\/28341"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=28330"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=28330"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=28330"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}