answersLogoWhite

0

Why is the gcf of two odd number always odd?

Updated: 8/21/2019
User Avatar

Wiki User

6y ago

Best Answer

Because odd numbers don't have any even factors so they can't have any in common.

User Avatar

Wiki User

6y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

6y ago

If X and Y are two odd numbers then 2 cannot be a factor of either X nor of Y. That implies that 2 cannot be a common factor and so 2 cannot be a factor of the GCF.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why is the gcf of two odd number always odd?
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.


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 two odd nubers always odd?

Yes.


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?

No, their GCF is always odd.


Will the gfc of any two odd numbers always be odd?

The GCF will, yes.


Is it true that the GFC for two odd numbers is always odd?

The GCF is, yes.


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

Yes.


What happens when you add an odd number and an odd number?

Two odd numbers always sum to an even number. Always. Two even numbers always sum to an even number, and an odd number and an even number always sum to an odd number.


Is it true that the gcf of two odd numbers is always od?

Yes.


Is this true for any two odd number?

There are two truths about odd numbers. When added you get an even number... always! When multiplied you get an odd number... always!


Is the gcf of any two numbers always odd?

No. The gcf of 98 and 100 is 2 .