What is the Greatest Common Factor of 12044 and 12058?

Greatest common factor (GCF) of 12044 and 12058 is 2.

GCF(12044,12058) = 2

We will now calculate the prime factors of 12044 and 12058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12044 and 12058.

How to find the GCF of 12044 and 12058?

We will first find the prime factorization of 12044 and 12058. After we will calculate the factors of 12044 and 12058 and find the biggest common factor number .

Step-1: Prime Factorization of 12044

Prime factors of 12044 are 2, 3011. Prime factorization of 12044 in exponential form is:

12044 = 2² × 3011¹

Step-2: Prime Factorization of 12058

Prime factors of 12058 are 2, 6029. Prime factorization of 12058 in exponential form is:

12058 = 2¹ × 6029¹

Step-3: Factors of 12044

List of positive integer factors of 12044 that divides 12044 without a remainder.

1, 2, 4, 3011, 6022

Step-4: Factors of 12058

List of positive integer factors of 12058 that divides 12044 without a remainder.

1, 2, 6029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12044 and 12058. The biggest common factor number is the GCF number.
So the greatest common factor 12044 and 12058 is 2.

Also check out the Least Common Multiple of 12044 and 12058