Question

What is the greatest common monomial factor of `2a^2+12a`?

Answer 1

`2a` is the greatest common monomial factor.

One way of seeing this is to completely factor each term first:

`2a^2+12a = (2*a*a) + (2*2*3*a)`

Both of these bracketed terms contains at least one factor `2` and at least one factor `a`.

`= 2a*a + 2a*6`

`= 2a*(a+6)`