Question

Find the GCF of 96x5 and 64x2.

GCF of 96 and 64:
64 = (2)(2)(2)(2)(2)(2)
96 = (2)(2)(2)(2)(2)(3)
GCF = (2)(2)(2)(2)(2) = 32

GCF of x5 and x2
: x5 = (x)(x)(x)(x)(x) x2 = (x)(x)
GCF = (x)(x) = x2

What is the GCF of 96x5 and 64x2?
a) 32x
b) 32x2
c) 32x3
d) 32x5

Answer 1

32 is the GCF of the whole numbers and up to x2 can go into both

The answer should be 32x2

Hope this helps

Answer 2

`32x^2`

Explanation:

Given :
`96x^5` and
`64x^2`

To find : GCF

Solution :

`96x^5 =2 * 2 * 2 * 2 * 2* 3 *  x * x * x * x * x`

`64x^2 =2 * 2 * 2 * 2 * 2* 2 *  x * x`

GCF =
`2 * 2 * 2 * 2 * 2*  x * x`

GCF =
`32x^2`

Hence the GCF of
`96x^5` and
`64x^2` is
`32x^2`