If \(n\) and \(t\) are positive integers, what is the greatest prime factor of \(nt?\)

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If \(n\) and \(t\) are positive integers, what is the greatest prime factor of \(nt?\)

(1) The greatest common factor of \(n\) and \(t\) is \(5.\)
(2) The least common multiple of \(n\) and \(t\) is \(105.\)

Answer: B

Source: GMAT Prep