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Method 1:

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Factor the each monomial.

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18k 2 · 3 · 3 · k

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15k3 3 · 5 · k  · k · k

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

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GCF = 3 · k = 3k \ \

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The greatest common factor of 18k and 15k3 is 3k.\"\"

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The greatest common factor of 18k and 15k3 is 3k.