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Is the gcf of 2 odd numbers ever even?

Updated: 8/20/2019
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8y ago

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No, never.

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8y ago
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11y ago

No.

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Q: Is the gcf of 2 odd numbers ever even?
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Related questions

Can the GCF of an odd number and an even number ever be even?

No. Odd numbers don't have even factors.


Is the GCF of any two even numbers is always even?

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.


Is the gcf of all odd numbers always odd and is the gcf of all even numbers always even?

Yes and yes.


Why is the GCF of any odd numbers always odd?

The GCF of any set of odd numbers is odd because odd numbers don't have any even factors.


Is the GCF of any two numbers always odd and why?

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.


Is a GCF for two odd numbers always odd?

no, the GCF for 4 and 2 would be 2, which is even


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


The gcf of 2 numbers is 479 both even but cant go into?

Two even numbers won't have an odd GCF.


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 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.


Is the GFC of two even numbers is always 2?

No, their GCF is always odd.


Can the greatest common factor of an odd and even number always even?

The GCF of an odd and an even number must be odd since odd numbers do not have any even factors.