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Method 1:

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Factor the each monomial.

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40x2 2 · 2 · 2 · 5 · x · x 

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16x 2 · 2 · 2 · 2 ·  

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

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GCF = 2 · 2 · 2 · x = 8x

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The greatest common factor of 40x2 and 16x is 8x.\"\"

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The greatest common factor of 40x2 and 16x is 8x.