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

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

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