Question

How do you find the greatest common factor of `80x^3, 30yx^2`?

Answer 1

`gcf=10x^2`

Explanation:

Find the prime factorization of each of the given numbers:

`80x^3=16*5=2^4*5*x^3`
`30yx^2=2*3*5*y*x^2`

the greatest common factor is the product of all common factors taken one at a time at the lowest exponent:

`gcf=2*5*x^2=10x^2`