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Factor the each monomial.

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36a3 b 2 · 2 · 3 · 3 · a · a · a · b.

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56ab2 2 · 2 · 2 · 7 · a · 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 · 2 · a · b = 4ab The greatest common factor of 36a3b and 56ab2 is 4ab.\"\"

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The greatest common factor of 36a3b and 56ab2 is 4ab.