How do you find the GCF of 42 and 56?

1 Answer
Jan 4, 2017

The GCF of #42# and #56# is #14#.

Explanation:

One method for finding the GCF of two numbers goes as follows:

  • Divide the larger number by the smaller to get a quotient and remainder.

  • If the remainder is #0# then the smaller number is the GCF.

  • Otherwise repeat with the remainder and the smaller number.

So in our example:

#56 / 42 = 1" "# with remainder #14#

#42 / 14 = 3" "# with remainder #0#

So the GCF of #56# and #42# is #14#