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EXAMPLE 4

STEP 1. Write the prime factorization of each expression. 12 a 3 = 2 2 3 a a a. 9 a 2 = 3 3 a a. EXAMPLE 4. Finding the GCF of Monomials. Find the greatest common factor of 12 a 3 and 9 a 2. STEP 2. Find the common factors, 3 and a 2 . The GCF is their product. ANSWER.

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EXAMPLE 4

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  1. STEP 1 Write the prime factorization of each expression. 12a3 = 2 2 3 a a a 9a2 = 3 3 a a EXAMPLE 4 Finding the GCF of Monomials Find the greatest common factor of 12a3 and 9a2.

  2. STEP 2 Find the common factors, 3 and a2. The GCF is their product. ANSWER The GCF of 12a3 and 9a2 is 3a2, or 3a2. EXAMPLE 4 Finding the GCF of Monomials Find the greatest common factor of 12a3 and 9a2.

  3. for Example 4 GUIDED PRACTICE Find the greatest common factor of the monomials. 10. 6x, 18x

  4. ANSWER The GCF of 6x and 18x is 2 3x, or 6x. for Example 4 GUIDED PRACTICE

  5. for Example 4 GUIDED PRACTICE Find the greatest common factor of the monomials. 11. 6xy, 4xy2

  6. ANSWER 2 xy The GCF of 6xy and 4xy2 is or 2xy for Example 4 GUIDED PRACTICE

  7. for Example 4 GUIDED PRACTICE Find the greatest common factor of the monomials. 12. 15y, 9x2y2

  8. The GCF of 15y and 9x2y2 is 3 y for Example 4 GUIDED PRACTICE ANSWER

  9. for Example 4 GUIDED PRACTICE Find the greatest common factor of the monomials. 13. 5xy3, 10x2y2

  10. ANSWER The GCF of 5xy3 and 10x2y2 is or 5xy2 for Example 4 GUIDED PRACTICE 5 xy2

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