How do I find the Greatest Common Factor of 14m², 27a³, and 45a²?

Exactly the way you do it with numbers:

- - List all the factors of the first one.

- - List all the factors of the second one.

- - List all the factors of the third one.

- - Make a short list, consisting of the factors that appear

on all three lists. Those are the 'common' factors.

- - The greatest item on the short list is the greatest common factor.

14m², 27a³, and 45a² don't have any common factor except ' 1 '.

Since ' 1 ' is their only common factor, it's also their greatest one.