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Method 1:

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Factor the each monomial.

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18 =  2 · 3 · 3.

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45mn 3 · 3 · 5 · m  · n.

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

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GCF = 3 · 3 = 9 The greatest common factor of 18 and  45mn is 9.\"\"

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The greatest common factor of 18 and  45mn is 9.