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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

Respuesta :

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:

[tex]32x^2[/tex]

Step-by-step explanation:

Given : [tex]96x^5[/tex] and [tex]64x^2[/tex]

To find : GCF

Solution :

[tex]96x^5 =2 \times 2 \times 2 \times 2 \times 2\times 3 \times  x \times x \times x \times x \times x[/tex]

[tex]64x^2 =2 \times 2 \times 2 \times 2 \times 2\times 2 \times  x \times x [/tex]

GCF = [tex]2 \times 2 \times 2 \times 2 \times 2\times  x \times x [/tex]

GCF = [tex]32x^2[/tex]

Hence the GCF of [tex]96x^5[/tex] and [tex]64x^2[/tex] is [tex]32x^2[/tex]

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