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Factor the each monomial.

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3x2 =  3 · x · x

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15x3 3 · 5 · x · x · x

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

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The common prime factors are 3, x, and x.

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The GCF is 3 · x · x = 3x2

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The greatest common factor of 3x2 and 15x3 is 3x2.\"\"

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The greatest common factor of 3x2 and 15x3 is 3x2.