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How do you find the greatest common factor of 56, 63?

1 Answer

Mar 5, 2018

The GCF of $56$ $56$ and $63$ $63$ is $7$ $7$

Explanation:

One way to find the greatest common factor (GCF) of two positive numbers goes as follows:

Divide the larger number by the smaller to give a quotient and remainder.
If the remainder is $0$ $0$ then the smaller number is the GCF.
Otherwise repeat with the smaller number and the remainder.

In our example:

$\frac{63}{56} = 1$ $63 / 56 = 1" "$ with remainder $7$ $7$

$\frac{56}{7} = 8$ $56 / 7 = 8" "$ with remainder $0$ $0$

So the GCF is $7$ $7$

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