What is the Greatest Common Factor of 58529 and 58548?

Greatest common factor (GCF) of 58529 and 58548 is 1.

GCF(58529,58548) = 1

We will now calculate the prime factors of 58529 and 58548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58529 and 58548.

How to find the GCF of 58529 and 58548?

We will first find the prime factorization of 58529 and 58548. After we will calculate the factors of 58529 and 58548 and find the biggest common factor number .

Step-1: Prime Factorization of 58529

Prime factors of 58529 are 107, 547. Prime factorization of 58529 in exponential form is:

58529 = 107¹ × 547¹

Step-2: 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-3: Factors of 58529

List of positive integer factors of 58529 that divides 58529 without a remainder.

1, 107, 547

Step-4: Factors of 58548

List of positive integer factors of 58548 that divides 58529 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58529 and 58548. The biggest common factor number is the GCF number.
So the greatest common factor 58529 and 58548 is 1.

Also check out the Least Common Multiple of 58529 and 58548