For all integers \(p, <<p>>\) is the product of \(p\)'s distinct prime factors. What is the greatest common factor of

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For all integers \(p, <<p>>\) is the product of \(p\)'s distinct prime factors. What is the greatest common factor of \(<<24>>\) and \(<<54>>?\)

(A) \(<<2>>\)
(B) \(<<3>>\)
(C) \(<<8>>\)
(D) \(<<12>>\)
(E) \(<<14>>\)

Answer: D

Source: Princeton Review