What is the Greatest Common Factor of 58528 and 58542?

Greatest common factor (GCF) of 58528 and 58542 is 2.

GCF(58528,58542) = 2

We will now calculate the prime factors of 58528 and 58542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58528 and 58542.

How to find the GCF of 58528 and 58542?

We will first find the prime factorization of 58528 and 58542. After we will calculate the factors of 58528 and 58542 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 58542

Prime factors of 58542 are 2, 3, 11, 887. Prime factorization of 58542 in exponential form is:

58542 = 2¹ × 3¹ × 11¹ × 887¹

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 58542

List of positive integer factors of 58542 that divides 58528 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 887, 1774, 2661, 5322, 9757, 19514, 29271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58528 and 58542. The biggest common factor number is the GCF number.
So the greatest common factor 58528 and 58542 is 2.

Also check out the Least Common Multiple of 58528 and 58542