$x$ and $y$ are two number which share a prime factor. You do not know what the prime factor is. Explain how one can factor $x$ and $y$ quickly. Prove it works by using $x = 41685823$ and $y= 39034579$.
I don't really know how to approach this question because sharing a prime factor, does that mean they can share other factors too? Any help would be splendid! Cheers.
Edit: Apparently a classmate said that the two prime are consecutive primes. Maybe this will make the question clearer. Thanks!