The same as anyone else uses them.
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The Greeks used prime numbers in various mathematical and philosophical contexts. They recognized prime numbers as the building blocks of all positive integers and attributed them with mystical and divine qualities. For example, Euclid's "Elements" emphasized the role of primes in proving the fundamental theorem of arithmetic and establishing the unique factorization of numbers. The Greeks also associated primes with perfection and beauty, viewing them as a reflection of the order and harmony found in the universe.
The ancient Greeks.
It is hard to for historians to know exactly who "discovered" prime numbers. It is believed that the ancient Egyptians had some knowledge about prime numbers. However it was the ancient Greeks who get most of the credit for being the "first" to study prime numbers.
Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.
Prime numbers only have one and themselves as factors.
If the prime factorizations have no prime factors in common, the numbers are relatively prime.