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

Answer:

$32x^2$

Step-by-step explanation:

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

To find : GCF

Solution :

$96x^5 =2 \times 2 \times 2 \times 2 \times 2\times 3 \times  x \times x \times x \times x \times x$

$64x^2 =2 \times 2 \times 2 \times 2 \times 2\times 2 \times  x \times x$

GCF = $2 \times 2 \times 2 \times 2 \times 2\times  x \times x$

GCF = $32x^2$

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