Question

Using prime factorization what is the GCF 3y 2 squared, 24y 3 cubed

Answer 1

`3y^2`

Explanation:

Given:

To find the GCF of
`3y^2\ and\ 24y^3` using prime factorization.

Writing each in prime factors:

3 = 1
`*` 3

24 = 1
`*` 2
`*` 2
`*`2
`*` 3

Now, GCF of 3 and 24 is 3

`y^2=1* y* y`

`y^3=1* y* y* y`

GCF of
`y^2` and
`y^3` is
`y* y=y^2`.

Therefore, the overall GCF of the two terms is
`3y^2`