What is the Greatest Common Factor of 58589 and 58596?

Greatest common factor (GCF) of 58589 and 58596 is 1.

GCF(58589,58596) = 1

We will now calculate the prime factors of 58589 and 58596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58589 and 58596.

How to find the GCF of 58589 and 58596?

We will first find the prime factorization of 58589 and 58596. After we will calculate the factors of 58589 and 58596 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 58596

Prime factors of 58596 are 2, 3, 19, 257. Prime factorization of 58596 in exponential form is:

58596 = 2² × 3¹ × 19¹ × 257¹

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 58596

List of positive integer factors of 58596 that divides 58589 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 257, 514, 771, 1028, 1542, 3084, 4883, 9766, 14649, 19532, 29298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58589 and 58596. The biggest common factor number is the GCF number.
So the greatest common factor 58589 and 58596 is 1.

Also check out the Least Common Multiple of 58589 and 58596