Question

How do you find the GCF of `30a^2, 50ab^2`?

Answer 1

Factor each monomial and multiply all the common factors together to find the Greatest Common Factor which is `10a`

Explanation:

`30a^2` can be factored into `2 xx 3 xx 5 xx " "a xx a`

`50ab^2` can be factored into `2" " xx 5 xx 5 xx a " "xx b xx b`

The common factors are `2, 5, and a` multiplying these factors together gives

`2 xx 5 xx a = 10a`