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Factors and Greatest Common Factors Lesson Summary

Learn to find factors of numbers, prime factorization techniques, and determine the greatest common factor of monomials. Practice identifying common factors and calculating GCF in various examples.

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Factors and Greatest Common Factors Lesson Summary

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

  2. Warm Up • 21 • 2. 28. List the factors of:

  3. Essential Questions How do you write the prime factorization of numbers? How do you find the GCF of monomials?

  4. Vocabulary prime factorization greatest common factor

  5. 1 12 3 4 1 4 3     2 6 2 2 3    Factorizations of 12

  6. Example 12 and 16 Find the GCF of each pair of numbers: Method 1 List the factors. List all the factors. factors of 12: 1, 2, 3, 4, 6, 12 Circle the GCF. factors of 16: 1, 2, 4, 8, 16 The GCF of 12 and 16 is 4.

  7. Example: Finding the GCF of Monomials 8x2 and 7y3 8x2 = 2  2  2 x  x 7y3 = 7 y  y  y Nothing common except 1! The GCF 8x2 and 7y3 is 1.

  8. I do…. Find the GCF of each pair of monomials. 18g2 and 27g3 18g2 = 2  3  3  g  g 27g3 = 3  3  3 g  g  g 3  3 g  g Find the product of the common factors. The GCF of 18g2 and 27g3 is 9g2.

  9. We do…. Find the GCF of each pair of monomials. 16a6 and 9b 16a6 = 2  2  2  2 a  a  a  a  a  a 9b = 3  3 b The GCF of 16a6 and 9b is 1. There are no common factors other than 1.

  10. You do…. Find the GCF of each pair of monomials. 8x and 7v2 8x = 2  2  2 x 7v2 = 7 v  v There are no common factors other than 1. The GCF of 8xand 7v2 is 1.

  11. 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. 12x and 28x3 Lesson Quiz

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