Question

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

Answer 1

Answer:

$3y^2$

Step-by-step explanation:

Given:

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

Writing each in prime factors:

3 = 1 $\times$ 3

24 = 1 $\times$ 2 $\times$ 2 $\times$2 $\times$ 3

Now, GCF of 3 and 24 is 3

$y^2=1\times y\times y$

$y^3=1\times y\times y\times y$

GCF of $y^2$ and $y^3$ is $y\times y=y^2$.

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