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Q: Is the GCF of two even numbers always even?
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If the gcf numbers are even is it always even?

The GCF of two even numbers is always even.


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 two even numbers always two?

No. For example, the GCF of 8 and 12 is 4. The GCF of 12 and 18 is 6. The Greatest Common Factor of two even numbers will always be even, but it will not always be 2.


Is the GFC of two even numbers is always 2?

No, their GCF is always odd.


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 the GCF of any two even numbers always even?

Yes.


The gcf of any two even numbers is always even?

That is correct.


Is it true the gcf of any two numbers always even and why?

No


Is the gcf of two even numbers is 2 always?

No. The GCF of 8 and 12 is 4.


Is the GCF of two even numbers always 2?

No. The GCF of 4 and 8 is 4.


Is it true that the gcf of any two even numbers is always even?

Yes.


Why is the gcf of any two even numbers always even?

All even numbers have two as a factor. Any two even numbers have (at the least) two as a common factor. That means the GCF of any two even numbers will have two as a factor. Any number that has two as a factor is even.