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Factor the each monomial.
\14n = 2 · 7 · n.
\42n3 = 2 · 3 · 7 · n · n · n.
\The GCF is the product of the common prime factors in each monomial.
\GCF = 2 · 7 · n = 14n The greatest common factor of 14n and 42n3 is 14n.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The greatest common factor of 14n and 42n3 is 14n.