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The greatest common factor is the greatest number that divides two numbers. The procedure for finding the greatest common factor is:
- List the prime factors of each number.
- Multiply together all the factors that both the numbers have in common. If there are no common prime factors, the GCF is 1.
In this case, the prime factors of 87 are 3 and 29 because 3*29 = 87 and 3 and 29 are prime.
and
the prime factor of 3 is 3 because 3 is prime.
Therefore, the common factors are a single prime = 3
Therefore, the greatest common factor of 83 and 3 is 3.
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