No. One length could be 3 and the others three of a triangle. The total perimeter is 9 units, which is an odd number.
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The GCF of two even numbers is always even.
The GCF of any two odd numbers is always odd. The GCF of any two even numbers is always even. The GCF of an odd and an even number is always odd.
Yes.
That is correct.
No. For example, the GCF of 8 and 12 is 4. The GCF of 12 and 18 is 6. The Greatest Common Factor of two even numbers will always be even, but it will not always be 2.