The GCF of any set of odd numbers is odd because odd numbers don't have any even factors.
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No not always as for example the GCF of 7 and 21 is 7
The GCF of an odd and even number is never even.
No, their GCF is always odd.
No, the GCF of any two numbers may be odd or even. For instance:The GCF of 2 and 4 is 2The GCF of 3 and 6 is 3The GCF of 14 and 21 is 7.
Not only can they, but they must. An odd number cannot have an even factor. So none of the factors of either of the two odd numbers can be even and so the GCF is made up of only odd factors and so it must be odd.