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All even numbers have two as a factor. Since two will be a common factor of any set of even numbers, the GCF will also have two as a factor, making it even.

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โˆ™ 2018-02-07 00:33:31
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Q: What is a reason why the GCF of any two even numbers is always even?
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Related questions

Is the GCF of any two numbers is always odd?

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.


If the gcf numbers are even is it always even?

The GCF of two even numbers is always even.


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

Yes and yes.


Is the GCF of even numbers always an even number?

A set of even numbers, yes.


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

No


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 gcf of 2 even numbers always even?

Yes.


Is the gcf 2 even numbers is always even?

Yes.


Is the gcf of an even numbers always even?

It is not always even. * * * * * Yes. Since the numbers are even, 2 must be a common factor and so the GCF is a multiple of 2.


Is the gcf of two odd numbers always even?

No not always as for example the GCF of 7 and 21 is 7


The gcf of any two even numbers is always even?

That is correct.


Is the GCF of any two even numbers always even?

Yes.


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

Yes.


Is the GCF of two even numbers always 2?

No. The GCF of 4 and 8 is 4.


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 2?

Not always. The GCF of 8 and 12 is 4.


Is the gcf of any two odd numbers always even?

No, always odd.


Is the gcf of two even numbers is always even true or false?

True.


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

Yes.


Is the GCF of two even numbers always even?

Yes.


Is the gcf of any two even numbers is always even true or false?

True.


Is a GCF for two odd numbers always odd?

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


Is the GFC of two even numbers is always 2?

The GCF is, 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.