Question

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

Answer 1

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.

Answer 2

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 .