What is the Greatest Common Factor of 12052 and 12058?

Greatest common factor (GCF) of 12052 and 12058 is 2.

GCF(12052,12058) = 2

We will now calculate the prime factors of 12052 and 12058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12052 and 12058.

How to find the GCF of 12052 and 12058?

We will first find the prime factorization of 12052 and 12058. After we will calculate the factors of 12052 and 12058 and find the biggest common factor number .

Step-1: Prime Factorization of 12052

Prime factors of 12052 are 2, 23, 131. Prime factorization of 12052 in exponential form is:

12052 = 2² × 23¹ × 131¹

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 12052

List of positive integer factors of 12052 that divides 12052 without a remainder.

1, 2, 4, 23, 46, 92, 131, 262, 524, 3013, 6026

Step-4: Factors of 12058

List of positive integer factors of 12058 that divides 12052 without a remainder.

1, 2, 6029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12052 and 12058. The biggest common factor number is the GCF number.
So the greatest common factor 12052 and 12058 is 2.

Also check out the Least Common Multiple of 12052 and 12058