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Method 1:

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Factor the each monomial.

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14b = 2 · 7 · b.

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56b2 2 · 2 · 2 · 7 · b · b.

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

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GCF = 2 · 7 · b = 14b.

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The greatest common factor of 14b and 56b2 is 14b.\"\"

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The greatest common factor of 14b and 56b2 is 14b.