Question

What is the Greatest common factor of 18x^2 and 36x

Answer 1

For this case we have that by definition, the Greatest Common Factor or GFC of two or more numbers, is the largest number that divides them without leaving residue.

So:

We look for the factors of 18 and 36:

18: 1,2,3,6,9,18

36: 1, 2,3,4, 6,9,18 ...

Thus, the GFC of both numbers is 18.

Then, the GFC of
`18x ^ 2` and
`36x` is:

`18x`

Answer:

`18x`