What is the Greatest Common Factor of 58044 and 58051?

Greatest common factor (GCF) of 58044 and 58051 is 7.

GCF(58044,58051) = 7

We will now calculate the prime factors of 58044 and 58051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58044 and 58051.

How to find the GCF of 58044 and 58051?

We will first find the prime factorization of 58044 and 58051. After we will calculate the factors of 58044 and 58051 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58051

Prime factors of 58051 are 7, 8293. Prime factorization of 58051 in exponential form is:

58051 = 7¹ × 8293¹

Step-3: Factors of 58044

List of positive integer factors of 58044 that divides 58044 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

Step-4: Factors of 58051

List of positive integer factors of 58051 that divides 58044 without a remainder.

1, 7, 8293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58044 and 58051. The biggest common factor number is the GCF number.
So the greatest common factor 58044 and 58051 is 7.

Also check out the Least Common Multiple of 58044 and 58051