answersLogoWhite

0

Is the GCF of even numbers always an even number?

Updated: 8/21/2019
User Avatar

Wiki User

8y ago

Best Answer

A set of even numbers, yes.

User Avatar

Wiki User

8y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is the GCF of even numbers always an even number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
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.


If the gcf numbers are even is it always even?

The GCF of two even numbers is always even.


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

Yes and 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 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.


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 an even number if the numbers are even numbers?

Yes.


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 this true or false and why The gcf of any two even numbers is always even?

True. Even numbers are even because they are multiples of 2. That means that any two even numbers will have at least 2 as a common factor. Since that number (the GCF) will have 2 as a factor, it will be a multiple of 2: an even number.


Is the gcf 2 even numbers is always even?

Yes.


Is the GFC of two even numbers is always 2?

No, their GCF is always odd.