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:

$32=2\times 2\times 2\times 2\times 2$  

$28=2\times 2\times 7$

Clearly, 2 and 2 are common factors in both.

$GCF(32,28)=2\times 2$

$GCF(32,28)=4$

Therefore, the GCF of 32 and 28 is 4.

(b)

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

$32-28=4\times 8-4\times 7$

Taking out the GCF, we get

$32-28=4\times (8-7)$

Therefore, $32-28=4\times (8-7)$.