What is the Greatest Common Factor of 58112 and 58124?

Greatest common factor (GCF) of 58112 and 58124 is 4.

GCF(58112,58124) = 4

We will now calculate the prime factors of 58112 and 58124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58112 and 58124.

How to find the GCF of 58112 and 58124?

We will first find the prime factorization of 58112 and 58124. After we will calculate the factors of 58112 and 58124 and find the biggest common factor number .

Step-1: Prime Factorization of 58112

Prime factors of 58112 are 2, 227. Prime factorization of 58112 in exponential form is:

58112 = 2⁸ × 227¹

Step-2: Prime Factorization of 58124

Prime factors of 58124 are 2, 11, 1321. Prime factorization of 58124 in exponential form is:

58124 = 2² × 11¹ × 1321¹

Step-3: Factors of 58112

List of positive integer factors of 58112 that divides 58112 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 227, 256, 454, 908, 1816, 3632, 7264, 14528, 29056

Step-4: Factors of 58124

List of positive integer factors of 58124 that divides 58112 without a remainder.

1, 2, 4, 11, 22, 44, 1321, 2642, 5284, 14531, 29062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58112 and 58124. The biggest common factor number is the GCF number.
So the greatest common factor 58112 and 58124 is 4.

Also check out the Least Common Multiple of 58112 and 58124