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Earn +20 ptsQ: Is the GCF of any odd number always odd?
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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 the gcf of an odd number and an even number is always even?
It CAN'T be even, since the number 2 is not a factor of the odd number. "Even" means that a number is a multiple of 2.
Is gcf of an odd number and an even number always even?
It is NEVER even. Because no even number can be a factor of the odd number.
Is the gcf of any two numbers always odd?
No. The gcf of 98 and 100 is 2 .
Is the gcf of all odd numbers always odd and is the gcf of all even numbers always even?
Yes and yes.
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