Is the GCF (Greatest Common Factor) of a pair of numbers ever greater than both numbers? Explain with an example.

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Austin

Mathematics

12 July, 23:54

Is the GCF (Greatest Common Factor) of a pair of numbers ever greater than both numbers? Explain with an example.

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Kallie Stewart · Answer 1

The GCF can be the smaller one of the two numbers,

or else it can be a number smaller than either of them.

It can never be more than the smaller of the two numbers.

- - The GCF of 10 and 100 is 10.

- - The GCF of 9 and 102 is 3.

- - The GCF of 10 and any number more than 10

an never be bigger than 10.

Serena Frye · Answer 2

Basically, what I would say is that the Greatest Common Factor is no larger than smallest. Keep in mind that Greatest means biggest, but don't let it trick you.