If \(y = 30p,\) and \(p\) is prime, what is the greatest common factor of \(y\) and \(14p,\) in terms of \(p?\)

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If \(y = 30p,\) and \(p\) is prime, what is the greatest common factor of \(y\) and \(14p,\) in terms of \(p?\)

A. \(p\)
B. \(2p\)
C. \(5p\)
D. \(7p\)
E. \(p^2\)

Answer: B

Source: Manhattan GMAT