Question

How do you find the GCF of `297x^3`, `99x^9`?

Answer 1

`HCF = 99x^3`

Explanation:

Write each term as the product of its prime factors then you can see which they have in common.

`" "297x^3 = color(blue)(3xx3)xx3color(blue)(xx11xx x xx x xx x)`
`" "ul(99x^9 = color(blue)(3xx3" "xx11 xx x xx x xx x) xx x^6)`
`" "HCF = color(blue)(3xx 3" "xx 11 xx x xx x xx x) = 99x^3`