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10/10/2011 2-5 Greatest Common Factor Example 2A: Using Prime Factorization to Find the GCF Find the greatest common factor (GCF) of 40 and 56. 2-5 Greatest Common Factor Example 2B: Using Prime Factorization to Find the GCF Find the greatest common factor (GCF). B. 252, 180, 96, 60 40 = 2 · 2 · 2 · 5 56 = 2 · 2 · 2 · 7 2·2·2=8 Write the prime factorization of each number and circle the common factors. 252 = 2 · 2 · 3 · 3 · 7 180 = 2 · 2 · 3 · 3 · 5 Write the prime factorization of each number and circle the common prime factors. 96 = 2 · 2 · 2 · 2 · 2 · 3 Multiply the common prime factors. 60 = 2 · 2 · 3 · 5 The GFC is 8. 2 · 2 · 3 = 12 Multiply the common prime factors. The GCF is 12. Course 2 Course 2 2-5 Greatest Insert Lesson Common TitleFactor Here 2-5 Greatest Insert Lesson Common TitleFactor Here Lesson Quiz: GCF Example 2C: Using Prime Factorization to Find the GCF Find the greatest common factor (GCF). Show work, then check! C. 360, 250, 170, 40 360 = 2 · 2 · 2 · 3 · 3 · 5 250 = 2 · 5 · 5 · 5 Write the prime factorization of each number and circle the common prime factors. 170 = 2 · 5 · 17 40 = 2 · 2 · 2 · 5 2 · 5 = 10 The GCF is 10. Course 2 Find the greatest common factor (GCF). Multiply the common prime factors. 1. 28, 40 Answer: 4 2. 24, 56 Answer: 8 3. 54, 99 Answer: 9 4. 20, 35, 70 Answer: 5 Course 2 1