elementary number theory - Largest power of 10 that divides $(44^{11})times(35^{13})$?

Find the largest power of $10$ that divides $44^{11}\times35^{13}$.

I'm sort of lost on how to work this out. I know how to do this if it is going into a factorial (i.e. "what is the largest power of $7$ that divides $50!$") but I'm not sure how to do it with two numbers being multiplied together.

Any help to get started is appreciated.