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

If n and t are positive integers, what is the greatest prime factor of the product nt? GMAT Explanation + Additional Examples!

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

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

Correct Answer: B