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

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Answer 1 · 2017-10-27T13:37:27

See a solution process below:

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:

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

How do you find the GCF of 26z^2, 32z, 44z^426z^2, 32z, 44z^4?