What is the GCF for #24m# and #16mn#?

1 Answer
Oct 4, 2017

See a solution process below:

Explanation:

Find the prime factors for each number as:

#24m = 2 xx 2 xx 2 xx 3 xx m#

#16mn = 2 xx 2 xx 2 xx 2 xx m xx n#

Now identify the common factors and determine the GCF:

#24m = color(red)(2) xx color(red)(2) xx color(red)(2) xx 3 xx color(red)(m)#

#16mn = color(red)(2) xx color(red)(2) xx color(red)(2) xx 2 xx color(red)(m) xx n#

Therefore:

#"GCF" = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(m) = 8m#