Question

GCF of 32ab cubed and 40a squared

Answer 1

8a.

Explanation:

32 = 2*2*2*2*2

40 = 2*2*2* 5

Thus the GCF of 32 and 40 is 2*2*2 = 8.

The GCF of a and ab = a.

Answer 2

For this case we must find the GCF of the following expressions:

`32ab ^ 3\\40a ^ 2`

By definition, the GCF is given by the largest factor that divides both numbers without leaving residue.

We look for the factors of 32 and 40:

32: 1,2,4,8,16

40: 1,2,4,5,8,10,20

Thus, the GCF is 8.

On the other hand, the GCF of
`ab ^ 3`and
`a ^ 2` is a.

Finally, the GFC of the expressions is:

`8a`

Answer:

`8a`