Hoping you guys can help me out here, I have a math problem that I cannot figure out for the life of me! And I'm sure most of you guys will know it in a heartbeat...

"True or false? If true, give a justification (not just an example). If false, give a counterexample. Assume a, b, and c are natural numbers.

part 1) If "a" is a factor of "b" then GCF (a,b) = a

part 2) If GCF (a,b) = x and GCF (a,c) = x, then b = c "

Thanks if you guys can help out!