EXAMPLE 4 Finding the GCF of Monomials

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Presentation transcript:

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

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

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

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

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

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

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

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

GUIDED PRACTICE for Example 4 ANSWER The GCF of 5xy3 and 10x2y2 is or 5xy2 5 x y2