What is the greatest common factor of 10 and 40?

1 Answer
Aug 13, 2017

See a solution process below:

Explanation:

Factor each number as:

#10 = 2 xx 5#

#40 = 2 xx 2 xx 2 xx 5#

Now identify the common factors and determine the GCF:

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

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

Therefore:

#"GCF" = color(red)(2) xx color(red)(5) = 10#