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Method 1:

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Factor the each monomial.

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12x 2 · 2 · 3 · x.

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40x2 2 · 2 · 2 · 5 · x  · x.

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

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GCF =  2 · 2 · x = 4x

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The greatest common factor of 12x and 40x2 is 4x.\"\"

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The greatest common factor of 12x and 40x2 is 4x.