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:
[tex]32=2\times 2\times 2\times 2\times 2[/tex]
[tex]28=2\times 2\times 7[/tex]
It is clear that, 2 and 2 are the common factors in both.
[tex]GCF(32,28)=2\times 2[/tex]
[tex]GCF(32,28)=4[/tex]
Hence, the GCF of 32 and 28 is 4.
(b)
Using the GCF we need to find the factor of (32-28).
[tex]32-28=4\times 8-4\times 7[/tex]
Taking out the GCF, we get
[tex]32-28=4\times (8-7)[/tex]
Hence, [tex]32-28=4\times (8-7)[/tex].
