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Method 1:

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Factor the each monomial.

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44m2n = 2 · 2 · 11 · m · m · n

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48mn2 2 · 2 · 2 · 2 · 3 · m · n · n

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

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GCF = 2 · m · n

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The greatest common factor of 44m2n and 48mn2 is 2mn.\"\"

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The greatest common factor of 44m2n and 48mn2 is 2mn.