# How do you find the Greatest Common Factor(GCF) of two or more numbers? For example, how do you find the Greatest Common Factor of 32 and 60?

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Let’s Review factor - one of two whole numbers that when multiplied together result in a product 15 1 x 15 3 x 5 1, 3, 5, 15 The factors of 15 are 1, 3, 5 and 15. The set of factors for 15 is.
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• 1 How do you find the Greatest Common Factor(GCF) of two or more numbers? For example, how do you find the Greatest Common Factor of 32 and 60?
• 2 In this lesson you will learn how to find the Greatest Common Factor of two or more numbers by creating and comparing a list of factors for each.
• 3 Let’s Review factor - one of two whole numbers that when multiplied together result in a product 15 1 x 15 3 x 5 1, 3, 5, 15 The factors of 15 are 1, 3, 5 and 15. The set of factors for 15 is.
• 4 7 is a prime number. 7 x 1 = 7 Prime numbers have only two factors, one and themselves. Composite numbers have more than two factors. 10 is a composite number.1 x 10 = 10 2 x 5 = 10
• 5 A Common Misunderstanding Confusing factors with multiples Find the factors of 25. 25, 50, 75… 1, 5, 25
• 6 Core Lesson How do you find the Greatest Common Factor of 32 and 60? Create a complete list of factors for both numbers. Factors of 32 1 x 32 2 x 16 4 x 8 Factors of 60 1 x 60 2 x 30 3 x 20 4 x 15 5 x 12 6 x 10
• 7 Factors of 32 1 x 32 2 x 16 4 x 8 1, 2, 4, 8, 16, 32 Factors of 60 1 x 60 2 x 30 3 x 20 4 x 15 5 x 12 6 x 10 1, 2, 3,4, 5, 6, 10, 12, 15, 20, 30, 60
• 8 Factors of 32 = 1, 2, 4, 8, 16, 32 Factors of 60 Which factors do 32 and 60 have in common? The set of common factors for 32 and60 is 1, 2, 4. Compare lists. = 1, 2, 3, 4, 5, 6, 10, 12,15, 20, 30, 60
• 9 Core Lesson The set of common factors for 32 and 60 is 1, 2, 4. The Greatest Common Factor (GCF) for 32 and 60 is 4.
• 10 Let’s find the GCF for 12, 14 and 20. Factors for 12 are {1, 2, 3, 4, 6, 12}. Factors for 14 are {1, 2, 7, 14}. Factors for 20 are {1, 2, 4, 5, 10, 20}. The common factors for 12, 14 and 20 are { 1, 2 }. The GCF for 12, 14 and 20 is 2.
• 11 In this lesson you have learned how to find the Greatest Common Factor of two or more numbers by creating and comparing a list of factors for each.
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