What is the Greatest Common Factor of 58528 and 58538?

Greatest common factor (GCF) of 58528 and 58538 is 2.

GCF(58528,58538) = 2

We will now calculate the prime factors of 58528 and 58538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58528 and 58538.

How to find the GCF of 58528 and 58538?

We will first find the prime factorization of 58528 and 58538. After we will calculate the factors of 58528 and 58538 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 58538

Prime factors of 58538 are 2, 29269. Prime factorization of 58538 in exponential form is:

58538 = 2¹ × 29269¹

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 58538

List of positive integer factors of 58538 that divides 58528 without a remainder.

1, 2, 29269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58528 and 58538. The biggest common factor number is the GCF number.
So the greatest common factor 58528 and 58538 is 2.

Also check out the Least Common Multiple of 58528 and 58538