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Q: If two numbers are relatively prime then one of them must be prime?

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For numbers to be relatively prime, there needs to be more than one of them.

Any number greater than one can be relatively prime. Two relatively prime numbers have a GCF of 1.

Numbers having no common positive divisors other than one are relatively prime. In other words, the greatest common denominator of the numbers is one. Example: 24 and 25 are relatively prime.

Once your prime factorization is complete and you discover that there are no numbers in common, the GCF is one and the numbers are declared to be relatively prime.

Co-prime numbers, relatively prime numbers and any set of prime numbers.

A single number cannot be relatively prime. Any pair of numbers between 50 and 100 of which one is a prime will be relatively prime. There are 728 pairs of numbers that are relatively prime and I have neither the time nor patience to list them all!

No even numbers are relatively prime because they all have the prime factor 2 as one of their factors.

No, 28 and 34 are not relatively prime. No pair of even numbers can be relatively prime, as they always share at least one factor (2).

Two numbers are relatively prime if they share no common positive factors other than one.

All of them. Any number greater than one can be relatively prime.

One number, by itself cannot be relatively prime - or otherwise. Relative primality is a property of two (or more) numbers.

False. Consider 4 and 9. Neither are prime, but they have no common factors other than 1 and are therefore relatively prime. More generally, any two numbers p^n and q^n where p, q both prime and n<>p or q and n>1 are relatively prime. This is by no means all pairs of relatively prime numbers, but it's an easy way to find examples where neither of the pair is prime.

Relatively prime numbers have a GCF of 1.

Any number greater than one can potentially be relatively prime with another.

They are said to be relatively prime or co-prime.

They are relatively prime, or co-prime.

One number, by itself cannot be relatively prime - or otherwise. Relative primality is a property of two (or more) numbers.

One number, by itself cannot be relatively prime - or otherwise. Relative primality is a property of two (or more) numbers.

Two numbers whose GCF is one are relatively prime or co-prime

The numbers are relatively prime, or co-prime.

A set of numbers whose GCF is one are called co-prime or relatively prime

The GCF is 1.

No. To be relatively prime they could have only the number one as a common factor, but seven is also a common factor that they have.

Any two prime or relatively prime numbers. 25 and 36, for example.

23 is relatively prime to all integers that aren't multiples of 23.