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

1 Answer
Oct 27, 2017

Answer:

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#