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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 = a a a 9a2 = a a

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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.

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

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

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

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

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

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

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

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

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