Tricky GCD problem Say we have two integers, $x$ and $y$. If $\gcd(x,y)=5$, how can we find every value for $\gcd(x^2,y)$? If you can find a list of every value, can you prove that this list is complete?

HINT $\rm\quad (x,\:y)\ |\ (x^2,\:y)\ |\ (x,\:y)^2\! = (x^2,\:x\:y,\:y^2)$
