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Earn +20 ptsQ: Why is the GCF of any odd numbers always odd?
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Are there any 2 even numbers that the GCF is an odd number?
No not always as for example the GCF of 7 and 21 is 7
Is the gcf of a odd number and an even number always even?
The GCF of an odd and even number is never even.
Is the GFC of two even numbers is always 2?
No, their GCF is always odd.
Is the Greatest Common Factor of any two numbers always even?
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.
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.
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