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Method 1:

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Factor the each monomial.

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15xy = 3 · 5 · x · y

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7x2 1 · 7 · x  · x 

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The GCF is the product of the common prime factors in each monomial.

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GCF = x

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The greatest common factor of 15xy and 7x2 is x.\"\"

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The greatest common factor of 15xy and 7x2 is x.