What is the Greatest Common Factor of 58528 and 58536?

Greatest common factor (GCF) of 58528 and 58536 is 8.

GCF(58528,58536) = 8

We will now calculate the prime factors of 58528 and 58536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58528 and 58536.

How to find the GCF of 58528 and 58536?

We will first find the prime factorization of 58528 and 58536. After we will calculate the factors of 58528 and 58536 and find the biggest common factor number .

Step-1: Prime Factorization of 58528

Prime factors of 58528 are 2, 31, 59. Prime factorization of 58528 in exponential form is:

58528 = 2⁵ × 31¹ × 59¹

Step-2: Prime Factorization of 58536

Prime factors of 58536 are 2, 3, 271. Prime factorization of 58536 in exponential form is:

58536 = 2³ × 3³ × 271¹

Step-3: Factors of 58528

List of positive integer factors of 58528 that divides 58528 without a remainder.

1, 2, 4, 8, 16, 31, 32, 59, 62, 118, 124, 236, 248, 472, 496, 944, 992, 1829, 1888, 3658, 7316, 14632, 29264

Step-4: Factors of 58536

List of positive integer factors of 58536 that divides 58528 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 271, 542, 813, 1084, 1626, 2168, 2439, 3252, 4878, 6504, 7317, 9756, 14634, 19512, 29268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58528 and 58536. The biggest common factor number is the GCF number.
So the greatest common factor 58528 and 58536 is 8.

Also check out the Least Common Multiple of 58528 and 58536