What is the Greatest Common Factor of 58539 and 58554?

Greatest common factor (GCF) of 58539 and 58554 is 3.

GCF(58539,58554) = 3

We will now calculate the prime factors of 58539 and 58554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58539 and 58554.

How to find the GCF of 58539 and 58554?

We will first find the prime factorization of 58539 and 58554. After we will calculate the factors of 58539 and 58554 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58554

Prime factors of 58554 are 2, 3, 3253. Prime factorization of 58554 in exponential form is:

58554 = 2¹ × 3² × 3253¹

Step-3: Factors of 58539

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

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

Step-4: Factors of 58554

List of positive integer factors of 58554 that divides 58539 without a remainder.

1, 2, 3, 6, 9, 18, 3253, 6506, 9759, 19518, 29277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58539 and 58554. The biggest common factor number is the GCF number.
So the greatest common factor 58539 and 58554 is 3.

Also check out the Least Common Multiple of 58539 and 58554