## 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 $$nt?$$

by Vincen » Tue Aug 17, 2021 7:28 am

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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 $$105.$$