The prime numbers between 45 and 60 are 47, 53, and 59.
The common factors of 45 and 60 are 1, 3, 5, and 15. The greatest common factor of 45 and 60 is 15.
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The greatest common factor of two or more prime numbers is 1.
If the greatest common factor is 1, then the numbers are said to be co-prime or relatively prime.
As the numbers are all prime, the only factors each of them has are 1 and the number itself. Therefore the greatest, and only, common factor of two of more prime numbers is 1.
Their least common denominator is their product. Their greatest common denominator is infinite.
They are said to be relatively prime or co-prime.