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Yes. The odd number does not have 2 as a factor (or else the number would be even).

So the gcf does not have 2 as a factor. So the gcf must be odd.

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14y ago
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8y ago

Yes.

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Q: Is it true that the gcf of an odd and an even number is always an odd number?
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Related questions

Is the gcf of an even number and an odd number always even?

No, it is not.


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

True.


Is the gcf of an odd and even number always even?

No. The opposite is true: the gcf of an odd number and an even number is always odd. All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even. Thus the only common factors between odd and even numbers must be odd.


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 of any two even numbers is always even true?

Yes, that is true.


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.


Why is The GCF of an odd number in a even number is always even?

It's not. It's always odd.


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.


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 an odd or even number ALWAYS 1?

No, it is not.


Is gcf of an odd number and an even number always even?

It is NEVER even. Because no even number can be a factor of the odd number.