Question

How do you find the GCF of `25x^3, 45x^4, 65x^2`?

Answer 1

`2925x^4`

Explanation:

Find the factors of each first.
`25x^3=5^2*x^3`
`45x^4=3^2*5*x^4`
`65x^2=5*13*x^2`

Use this to find the prime factorization of the GCF.
`3^2*5^2*13*x^4`

Solve.
`3^2*5^2*13*x^4=2925x^4`