What is the Greatest Common Factor of 58548 and 58557?

Greatest common factor (GCF) of 58548 and 58557 is 3.

GCF(58548,58557) = 3

We will now calculate the prime factors of 58548 and 58557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58548 and 58557.

How to find the GCF of 58548 and 58557?

We will first find the prime factorization of 58548 and 58557. After we will calculate the factors of 58548 and 58557 and find the biggest common factor number .

Step-1: Prime Factorization of 58548

Prime factors of 58548 are 2, 3, 7, 17, 41. Prime factorization of 58548 in exponential form is:

58548 = 2² × 3¹ × 7¹ × 17¹ × 41¹

Step-2: Prime Factorization of 58557

Prime factors of 58557 are 3, 131, 149. Prime factorization of 58557 in exponential form is:

58557 = 3¹ × 131¹ × 149¹

Step-3: Factors of 58548

List of positive integer factors of 58548 that divides 58548 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 41, 42, 51, 68, 82, 84, 102, 119, 123, 164, 204, 238, 246, 287, 357, 476, 492, 574, 697, 714, 861, 1148, 1394, 1428, 1722, 2091, 2788, 3444, 4182, 4879, 8364, 9758, 14637, 19516, 29274

Step-4: Factors of 58557

List of positive integer factors of 58557 that divides 58548 without a remainder.

1, 3, 131, 149, 393, 447, 19519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58548 and 58557. The biggest common factor number is the GCF number.
So the greatest common factor 58548 and 58557 is 3.

Also check out the Least Common Multiple of 58548 and 58557