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.
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.
Any set of odd numbers, yes.
The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even factors.
The GCF will, yes.
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.
Yes and yes.
Yes.
The GCF of any two odd numbers is also odd.
No. The gcf of 98 and 100 is 2 .
The gcf of a single number is the number itself. But you will usually want to take the gcf of more than one number, not of a single number.
Because odd numbers don't have any even factors so they can't have any in common.