How do you find the GCF of 24 and 40?

1 Answer
George C.
Jan 8, 2017

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.

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