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Earn +20 ptsQ: Is the gcf of any two numbers always odd?
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Is the gcf of all odd numbers always odd and is the gcf of all even numbers always even?
Yes and yes.
Is the GCF of any odd number always odd?
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.
Why is the gcf of an odd number and an even number always odd?
Because odd numbers don't have any even factors so they can't have any in common.
Is a GCF for two odd numbers always odd?
no, the GCF for 4 and 2 would be 2, which is even
Is the gcf of any 2 even numbers always even?
If x is an odd number that is a common factor of 2 even numbers, so is 2x. So the answer is yes.
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