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What is the Greatest Common Factor of 579 and 599?

Greatest common factor (GCF) of 579 and 599 is 1.

GCF(579,599) = 1

We will now calculate the prime factors of 579 and 599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 579 and 599.

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How to find the GCF of 579 and 599?

We will first find the prime factorization of 579 and 599. After we will calculate the factors of 579 and 599 and find the biggest common factor number .

Step-1: Prime Factorization of 579

Prime factors of 579 are 3, 193. Prime factorization of 579 in exponential form is:

579 = 31 × 1931

Step-2: Prime Factorization of 599

Prime factors of 599 are 599. Prime factorization of 599 in exponential form is:

599 = 5991

Step-3: Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1, 3, 193

Step-4: Factors of 599

List of positive integer factors of 599 that divides 579 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 579 and 599. The biggest common factor number is the GCF number.
So the greatest common factor 579 and 599 is 1.

Also check out the Least Common Multiple of 579 and 599