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# Is the gcf of an odd or even number ALWAYS 1?

Updated: 8/29/2023

Wiki User

11y ago

No, it is not.

Wiki User

6y ago

Wiki User

11y ago

No.

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Q: Is the gcf of an odd or even number ALWAYS 1?
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### Is the gcf of a odd number and an even number always even?

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

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

No. The GCF of 6 and 15 is 3.

### Is the greatest common factor factor of a odd number and a even number always even?

No, the GCF of 6 and 7 is 1.

### Is the GFC of two even numbers is always 2?

No, their GCF is always odd.

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 a odd number and an even number always even?

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

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

It's not. It's always odd.

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.

### 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 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.

### 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.

### 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.

### 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 greatest common factor if an odd number and an even number always even?

no. try 6 and 15. their GCF = 3 (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.