What is the Greatest Common Factor of 58589 and 58599?

Greatest common factor (GCF) of 58589 and 58599 is 1.

GCF(58589,58599) = 1

We will now calculate the prime factors of 58589 and 58599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58589 and 58599.

How to find the GCF of 58589 and 58599?

We will first find the prime factorization of 58589 and 58599. After we will calculate the factors of 58589 and 58599 and find the biggest common factor number .

Step-1: Prime Factorization of 58589

Prime factors of 58589 are 41, 1429. Prime factorization of 58589 in exponential form is:

58589 = 41¹ × 1429¹

Step-2: Prime Factorization of 58599

Prime factors of 58599 are 3, 17, 383. Prime factorization of 58599 in exponential form is:

58599 = 3² × 17¹ × 383¹

Step-3: Factors of 58589

List of positive integer factors of 58589 that divides 58589 without a remainder.

1, 41, 1429

Step-4: Factors of 58599

List of positive integer factors of 58599 that divides 58589 without a remainder.

1, 3, 9, 17, 51, 153, 383, 1149, 3447, 6511, 19533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58589 and 58599. The biggest common factor number is the GCF number.
So the greatest common factor 58589 and 58599 is 1.

Also check out the Least Common Multiple of 58589 and 58599