Not necessarily. 4 and 9 are relatively prime and both are composite.
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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.
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!
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.