Question

What is the GCF of h4 and h8?
h2
h4
h8
h12

Answer 1

Answer: h4

Step-by-step explanation: Both numbers can be divided by 4. 4 is the  greatest number that you can pull out of the equation. So, since you can't pull an 8 out of a 4, h8 cannot be an option. h2 is not an option because there is no h2 in the problem. h12 is not an answer because that would make no sense in this problem.

Answer 2

Using it's concept, it is found that the greatest common factor of $h^4$ and $h^8$ is of $h^4$.

How the greatest common factor of an algebraic expression is found?

It is the the greatest common factor of the bases elevated to the greatest common factor of the exponents.

In this problem, the terms are $h^4$ and $h^8$. Both exponents are h, hence the GCF of the bases is h.

As for the exponents, we have that:

4 - 8|2

2 - 4|2

1 - 2

Hence gcf(4,8) = 2 x 2 = 4.

Thus, the greatest common factor of $h^4$ and $h^8$ is of $h^4$.

More can be learned about the greatest common factor at https://brainly.com/question/6032811