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Is the GCF of any two even numbersis always even?

Updated: 8/21/2019
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6y ago

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Yes.

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Q: Is the GCF of any two even numbersis 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 even numbers always even?

Yes.


The gcf of any two even numbers is always even?

That is correct.


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

Yes.


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

No


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

True.


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.


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.


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.