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 .