Question

Helpp plzzz Thank you

Answer 1

Given:

32 and 28 are the two numbers.

To find:

(a) The GCF of 32 and 28.

(b) Using the GCF, find the factor of (32-28).

Solution:

(a)

The factor forms of the given numbers are:

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

$28=2\times 2\times 7$

It is clear that, 2 and 2 are the common factors in both.

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

$GCF(32,28)=4$

Hence, 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

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

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