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Method 1:

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Factor the each monomial.

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18wx2 = 2 · 3 · 3 · w · x · x

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45wx2 3 · 3 · 5 · w · x

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

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GCF =  3 · 3 · w · x

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The greatest common factor of 18wx2 and 45wx2 is 9wx.\"\"

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The greatest common factor of 18wx2 and 45wx2 is 9wx.