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Q: Can the greatest common factor of two numbers be prime?

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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.

Because both numbers are prime numbers, the only common factor they have is 1. Therefore, the greatest common factor is 1. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 5 are 1 and 5. The factors of 23 are 1 and 23. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 5 is 5. The prime factor of 23 is 23. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.

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Prime numbers and numbers that are relatively prime.

The greatest common factor of two different prime numbers is 1. The two prime numbers have as their factors, 1 and themselves. That means that 1 is the only factor they have in common.The GCF is 1.

A prime number

The numbers are relatively prime, or co-prime.

Since they are both prime numbers - the greatest common factor is 1 !

The greatest common factor of 54 and 99 is 9, which is not prime. The greatest common factor of 80 and 114 is 2, which is prime.

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