1 and 2
No, always odd.
No, always odd.
No, always odd.
No, the GCF of 6 and 7 is 1.
even numbers
It is NEVER even. Because no even number can be a factor of the odd number.
It CAN'T be even, since the number 2 is not a factor of the odd number. "Even" means that a number is a multiple of 2.
No.
No, but it's always an even number.
No. Odd numbers only have odd factors. They could not have an even factor in common.
Having a factor of 2 defines an even number. Multiplying anything that has a factor of 2 by anything else will create a product that has a factor of 2, which will be by definition an even number.
No. Because both numbers are even, they each have 2 as a factor. Even if they have a larger factor in common, it will be a multiple of 2, so the greatest common factor will be an even number.Yes. Two even numbers are each divisible by 2. The GCF must therefore always have two as one of its factors; this makes it even.