How do you find the GCF of 40 and 100?

1 Answer
Feb 11, 2017

Answer:

See the entire solution process below:

Explanation:

To find the GCF (Greatest Common Factor) we need to factor each number separately and then find the all the common factors:

#40 = 2 xx 2 xx 2 xx 5#

#100 = 2 xx 2 xx 5 xx 5#

The common factors are:

#40 = color(red)(2 xx 2) xx 2 xx color(red)(5)#

#100 = color(red)(2 xx 2) xx color(red)(5) xx 5#

Or

#color(red)(2 xx 2 xx 5) = 20#

The GCF is #20#