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# Can the GCF of an odd number and an even number ever be even?

Updated: 8/17/2019 Wiki User

5y ago

No. Odd numbers don't have even factors. Wiki User

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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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6y ago

No, it is never even.   Earn +20 pts
Q: Can the GCF of an odd number and an even number ever be even?
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### Is it true that the gcf of an odd and an even number is always an odd number?

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.

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

The GCF of an odd and even number is never even.

No, it is not.

### 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 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 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.

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

It's not. It's always odd.

No, never.

### Can the greatest common factor of an odd and even number always even?

The GCF of an odd and an even number must be odd since odd numbers do not have any even factors.

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

It CAN'T be even, since the number 2 is not a factor of the odd number. "Even" means that a number is a multiple of 2.

### The GCF of an odd number and a even number is 15 The odd number is 45 What is the even number?

30 is the even number.