Question

Find the GCF of the monomials: 72x^3 y^2 and 210x^2y^5

Answer 1

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

Now, we look for the factors of 72 and 210:

72: 1,2,3,4,6,8,9,12,16,24,36,72

210: 1,2,3, 5,6,7 ...

Thus, the GFC of both is 6.

Then, the GFC of
`72x ^ 3y ^ 2` and
`210x ^ 2y ^ 5` is given by:

`6x ^ 2y ^ 2`

ANswer:

`6x ^ 2y ^ 2`