How do you find the GCF for the following list 80, 36?

1 Answer
Oct 21, 2016

The GCF of #80# and #36# is #4#

Explanation:

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

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

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

  • Otherwise, repeat with the smaller number and the remainder.

In our example we find:

#80 / 36 = 2" "# with remainder #8#

#36 / 8 = 4" "# with remainder #4#

#8 / 4 = 2" "# with remainder #0#

So the GCF of #80# and #36# is #4#