What is the Greatest Common Factor of 58524 and 58539?

Greatest common factor (GCF) of 58524 and 58539 is 3.

GCF(58524,58539) = 3

We will now calculate the prime factors of 58524 and 58539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58524 and 58539.

How to find the GCF of 58524 and 58539?

We will first find the prime factorization of 58524 and 58539. After we will calculate the factors of 58524 and 58539 and find the biggest common factor number .

Step-1: Prime Factorization of 58524

Prime factors of 58524 are 2, 3, 4877. Prime factorization of 58524 in exponential form is:

58524 = 2² × 3¹ × 4877¹

Step-2: Prime Factorization of 58539

Prime factors of 58539 are 3, 13, 19, 79. Prime factorization of 58539 in exponential form is:

58539 = 3¹ × 13¹ × 19¹ × 79¹

Step-3: Factors of 58524

List of positive integer factors of 58524 that divides 58524 without a remainder.

1, 2, 3, 4, 6, 12, 4877, 9754, 14631, 19508, 29262

Step-4: Factors of 58539

List of positive integer factors of 58539 that divides 58524 without a remainder.

1, 3, 13, 19, 39, 57, 79, 237, 247, 741, 1027, 1501, 3081, 4503, 19513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58524 and 58539. The biggest common factor number is the GCF number.
So the greatest common factor 58524 and 58539 is 3.

Also check out the Least Common Multiple of 58524 and 58539