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# Is the greatest common factor of two different prime numbers always 1?

Updated: 10/19/2022 Wiki User

8y ago

Yes, the greatest common factor of two different prime numbers is always 1 Wiki User

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Q: Is the greatest common factor of two different prime numbers always 1?
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### Is the greatest common factor of two different prime numbers always one?

Yes, that is correct.

Sometimes 2.

Always even.

### Is the greatest common factor of two even numbers always two?

No, but it's always an even number.

### How is the greatest common factor different from the least common factor?

In the list of common factors, the greatest is the largest, the least is the smallest (which is always 1)

Related questions

### Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?

Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.

### Is the greatest common factor of two different prime numbers always one?

Yes, that is correct.

No.

Yes.

### Can there be 2 greatest common factors?

No. The greatest common factor of any two or more numbers is always the single highest common factor.

### Why does the listing method always works to find the greatest common factor?

The greatest common factor of two numbers has to show up on the lists of factors of both numbers.

Sometimes 2.

yes

Yes.

### What will be the greatest common factor of two distinct prime numbers?

It will always be 1.

Yes.

No.