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Subjects>Math>Basic Math

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

Anonymous

∙ 7y ago

Updated: 4/28/2022

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.

Wiki User

∙ 7y ago

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

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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 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.

If the gcf numbers are even is it always even?

The GCF of two even numbers is always even.

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Related Questions

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 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.

If the gcf numbers are even is it always even?

The GCF of two even numbers is always even.

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

No

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

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 even numbers is always even true or false?

True.

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

Yes and yes.

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 any two even numbers is always even true?

Yes, that is true.

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