What is the greatest common factor of 51 and 75?

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Answer 1 · 2016-04-01T16:37:00

$3$

One way to calculate the GCF is as follows:

Given two numbers, divide the larger by the smaller to get a quotient and remainder.

If the remainder is zero then the GCF is the smaller number.

Otherwise repeat with the smaller number and the remainder.

In our example, proceed as follows:

$75 / 51 = 1$ with remainder $24$

$51 / 24 = 2$ with remainder $3$

$24 / 3 = 8$ with remainder $0$

So the GCF is $3$