It is not always even.
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Yes. Since the numbers are even, 2 must be a common factor and so the GCF is a multiple of 2.
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Yes and yes.
no, the GCF for 4 and 2 would be 2, which is even
The GCF of two even numbers is even.
If x is an odd number that is a common factor of 2 even numbers, so is 2x. So the answer is yes.
It will be an even number.