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Earn +20 ptsQ: What is the meaning of even and odd factors?
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Is the greatest common factor of any 2 odd numbers odd?
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.
Do all even numbers have only even numbers for factors?
At least one of the factors of an even number must be even, because the product of odd factors is always odd.
Is the greatest common factor an odd number and even number is always even?
No. Odd numbers only have odd factors. They could not have an even factor in common.
Is the gcf of a odd number and an even number always even?
The GCF of an odd and even number is never even.
What is the sign of the product of an odd number of negative factors?
even
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