Question

How do you find the GCF of `26z^2, 32z, 44z^4`?

Answer 1

See a solution process below:

Explanation:

Find the prime factors for each number as:

`26z^2 = 2 xx 13 xx z xx z`

`32z = 2 xx 2 xx 2 xx 2 xx 2 xx z`

`44z^4 = 2 xx 2 xx 11 xx z xx z xx z xx z`

Now identify the common factors and determine the GCF:

`26z^2 = color(red)(2) xx 13 xx color(red)(z) xx z`

`32z = color(red)(2) xx 2 xx 2 xx 2 xx 2 xx color(red)(z)`

`44z^4 = color(red)(2) xx 2 xx 11 xx color(red)(z) xx z xx z xx z`

Therefore:

`"GCF" = color(red)(2) xx color(red)(z) = 2z`