What is the Greatest Common Factor of 58028 and 58044?

Greatest common factor (GCF) of 58028 and 58044 is 4.

GCF(58028,58044) = 4

We will now calculate the prime factors of 58028 and 58044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58028 and 58044.

How to find the GCF of 58028 and 58044?

We will first find the prime factorization of 58028 and 58044. After we will calculate the factors of 58028 and 58044 and find the biggest common factor number .

Step-1: Prime Factorization of 58028

Prime factors of 58028 are 2, 89, 163. Prime factorization of 58028 in exponential form is:

58028 = 2² × 89¹ × 163¹

Step-2: Prime Factorization of 58044

Prime factors of 58044 are 2, 3, 7, 691. Prime factorization of 58044 in exponential form is:

58044 = 2² × 3¹ × 7¹ × 691¹

Step-3: Factors of 58028

List of positive integer factors of 58028 that divides 58028 without a remainder.

1, 2, 4, 89, 163, 178, 326, 356, 652, 14507, 29014

Step-4: Factors of 58044

List of positive integer factors of 58044 that divides 58028 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 691, 1382, 2073, 2764, 4146, 4837, 8292, 9674, 14511, 19348, 29022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58028 and 58044. The biggest common factor number is the GCF number.
So the greatest common factor 58028 and 58044 is 4.

Also check out the Least Common Multiple of 58028 and 58044