Question

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Answer 1

Given:

Two numbers are 32 and 28.

To find:

The GCF of 32 and 28 and using the GCF find the factor of (32-28).

Solution:

(a)

Two numbers are 32 and 28. The factor form of given numbers are:

`32=2* 2* 2* 2* 2`

`28=2* 2* 7`

Clearly, 2 and 2 are common factors in both.

`GCF(32,28)=2* 2`

`GCF(32,28)=4`

Therefore, the GCF of 32 and 28 is 4.

(b)

Using the GCF we need to find the factor of (32-28).

`32-28=4* 8-4* 7`

Taking out the GCF, we get

`32-28=4* (8-7)`

Therefore,
`32-28=4* (8-7)`.