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Greatest Common Factor

Greatest Common Factor. Objective: Finding Greatest Common Factor (GCF). Vocabulary. The greatest common factor is the biggest factor that is common to two or more numbers. Method 1: Listing the factors. Find the GCF of 40 and 24. 1, 2, 3, 4, 6, 8, 12, 24. 24: 40:.

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Greatest Common Factor

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  1. Greatest Common Factor Objective: Finding Greatest Common Factor (GCF) Vocabulary The greatest common factor is the biggest factor that is common to two or more numbers Method 1: Listing the factors Find the GCF of 40 and 24 1, 2, 3, 4, 6, 8, 12, 24 24: 40: What’s the biggest common factor? 1, 2, 4, 5, 8, 10, 20, 40 8

  2. Method 2: Using prime factorization (factor trees) Find the GCF of 36 and 48 48 36 6 8 6 6 2 4 2 3 3 2 2 2 3 2 2 36: 48: 2•2•3•3 The common factors are 2,2,and 3 2•2•2•2•3 The GCF is 2•2•3 12

  3. Method 3 Using prime factorization (upside down division) Find the GCF of 45 and 60 60 2 5 45 3 9 2 30 15 3 3 5 3•3•5 2•2•3•5 The GCF is 3•5 = 15

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