Factors and Greatest Common Factors 7 1 Common

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Factors and Greatest Common Factors 7 -1 Common Factors Warm Up Lesson Presentation/Cornell Notes

Factors and Greatest Common Factors 7 -1 Common Factors Warm Up Lesson Presentation/Cornell Notes Lesson Quiz Holt Algebra 1 Holt Mc. Dougal

7 -1 Factors and Greatest Common Factors Warm Up List the factors of: 1.

7 -1 Factors and Greatest Common Factors Warm Up List the factors of: 1. 21 2. 28. Holt Mc. Dougal Algebra 1

7 -1 Factors and Greatest Common Factors Essential Questions How do you write the

7 -1 Factors and Greatest Common Factors Essential Questions How do you write the prime factorization of numbers? How do you find the GCF of monomials? Holt Mc. Dougal Algebra 1

7 -1 Factors and Greatest Common Factors Vocabulary prime factorization greatest common factor Holt

7 -1 Factors and Greatest Common Factors Vocabulary prime factorization greatest common factor Holt Mc. Dougal Algebra 1

7 -1 Factors and Greatest Common Factors Factorizations of 12 Holt Mc. Dougal Algebra

7 -1 Factors and Greatest Common Factors Factorizations of 12 Holt Mc. Dougal Algebra 1

7 -1 Factors and Greatest Common Factors Example Find the GCF of each pair

7 -1 Factors and Greatest Common Factors Example Find the GCF of each pair of numbers: 12 and 16 Method 1 List the factors of 12: 1, 2, 3, 4, 6, 12 List all the factors of 16: 1, 2, 4, 8, 16 Circle the GCF. The GCF of 12 and 16 is 4. Holt Mc. Dougal Algebra 1

7 -1 Factors and Greatest Common Factors Example: Finding the GCF of Monomials 8

7 -1 Factors and Greatest Common Factors Example: Finding the GCF of Monomials 8 x 2 and 7 y 3 8 x 2 = 2 2 2 x x 7 y 3 = 7 y y y Nothing common except 1! The GCF 8 x 2 and 7 y 3 is 1. Holt Mc. Dougal Algebra 1

7 -1 Factors and Greatest Common Factors I do…. Find the GCF of each

7 -1 Factors and Greatest Common Factors I do…. Find the GCF of each pair of monomials. 18 g 2 and 27 g 3 18 g 2 = 2 3 3 27 g 3 = g g 3 3 3 g g g 3 3 g g Find the product of the common factors. The GCF of 18 g 2 and 27 g 3 is 9 g 2. Holt Mc. Dougal Algebra 1

7 -1 Factors and Greatest Common Factors We do…. Find the GCF of each

7 -1 Factors and Greatest Common Factors We do…. Find the GCF of each pair of monomials. 16 a 6 and 9 b 16 a 6 = 2 2 a a a 9 b = The GCF of 16 a 6 and 9 b is 1. Holt Mc. Dougal Algebra 1 3 3 b There are no common factors other than 1.

7 -1 Factors and Greatest Common Factors You do…. Find the GCF of each

7 -1 Factors and Greatest Common Factors You do…. Find the GCF of each pair of monomials. 8 x and 7 v 2 8 x = 2 2 2 x 7 v 2 = 7 v v The GCF of 8 x and 7 v 2 is 1. Holt Mc. Dougal Algebra 1 There are no common factors other than 1.

7 -1 Factors and Greatest Common Factors Lesson Quiz Write the prime factorization of

7 -1 Factors and Greatest Common Factors Lesson Quiz Write the prime factorization of each number. 1. 50 Find the GCF of each pair of numbers. 2. 18 and 75 Find the GCF of each pair of monomials. 3. 12 x and 28 x 3 Holt Mc. Dougal Algebra 1