What is the Greatest Common Factor of 58532 and 58548?

Greatest common factor (GCF) of 58532 and 58548 is 4.

GCF(58532,58548) = 4

We will now calculate the prime factors of 58532 and 58548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58532 and 58548.

How to find the GCF of 58532 and 58548?

We will first find the prime factorization of 58532 and 58548. After we will calculate the factors of 58532 and 58548 and find the biggest common factor number .

Step-1: Prime Factorization of 58532

Prime factors of 58532 are 2, 14633. Prime factorization of 58532 in exponential form is:

58532 = 2² × 14633¹

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 58532

List of positive integer factors of 58532 that divides 58532 without a remainder.

1, 2, 4, 14633, 29266

Step-4: Factors of 58548

List of positive integer factors of 58548 that divides 58532 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 58532 and 58548. The biggest common factor number is the GCF number.
So the greatest common factor 58532 and 58548 is 4.

Also check out the Least Common Multiple of 58532 and 58548