That can never be an even number.
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It will be an even number.
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.
Yes and yes.
Any two integers have a gcf. It is also possible for an odd and an even number to have a gcf other than one; for example, the following numbers (shown in factored form) have the gcf 7: 7 x 7 7 x 8 ex. 3 and 6, the GCF is 3 14 and 21 the GCF is 7