How do you find the GCF of 24 and 40?

1 Answer
Jan 8, 2017

Answer:

The GCF of #24# and #40# is #8#

Explanation:

Given two positive numbers, one method for finding their GCF goes as follows:

  • If the numbers are the same, then that is the GCF.

  • Otherwise, replace the larger number by the result of subtracting the smaller number from it and repeat.

So in our example:

  • Start with #24, 40#

  • Subtract #24# from #40# to get: #24, 16#

  • Subtract #16# from #24# to get: #8, 16#

  • Subtract #8# from #16# to get: #8, 8#

Since both resulting numbers are the same, the GCF is #8#.