What is the Greatest Common Factor of 12038 and 12051?

Greatest common factor (GCF) of 12038 and 12051 is 13.

GCF(12038,12051) = 13

We will now calculate the prime factors of 12038 and 12051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12038 and 12051.

How to find the GCF of 12038 and 12051?

We will first find the prime factorization of 12038 and 12051. After we will calculate the factors of 12038 and 12051 and find the biggest common factor number .

Step-1: Prime Factorization of 12038

Prime factors of 12038 are 2, 13, 463. Prime factorization of 12038 in exponential form is:

12038 = 2¹ × 13¹ × 463¹

Step-2: Prime Factorization of 12051

Prime factors of 12051 are 3, 13, 103. Prime factorization of 12051 in exponential form is:

12051 = 3² × 13¹ × 103¹

Step-3: Factors of 12038

List of positive integer factors of 12038 that divides 12038 without a remainder.

1, 2, 13, 26, 463, 926, 6019

Step-4: Factors of 12051

List of positive integer factors of 12051 that divides 12038 without a remainder.

1, 3, 9, 13, 39, 103, 117, 309, 927, 1339, 4017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12038 and 12051. The biggest common factor number is the GCF number.
So the greatest common factor 12038 and 12051 is 13.

Also check out the Least Common Multiple of 12038 and 12051