What is the Greatest Common Factor of 12129 and 12142?

Greatest common factor (GCF) of 12129 and 12142 is 13.

GCF(12129,12142) = 13

We will now calculate the prime factors of 12129 and 12142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12129 and 12142.

How to find the GCF of 12129 and 12142?

We will first find the prime factorization of 12129 and 12142. After we will calculate the factors of 12129 and 12142 and find the biggest common factor number .

Step-1: Prime Factorization of 12129

Prime factors of 12129 are 3, 13, 311. Prime factorization of 12129 in exponential form is:

12129 = 3¹ × 13¹ × 311¹

Step-2: Prime Factorization of 12142

Prime factors of 12142 are 2, 13, 467. Prime factorization of 12142 in exponential form is:

12142 = 2¹ × 13¹ × 467¹

Step-3: Factors of 12129

List of positive integer factors of 12129 that divides 12129 without a remainder.

1, 3, 13, 39, 311, 933, 4043

Step-4: Factors of 12142

List of positive integer factors of 12142 that divides 12129 without a remainder.

1, 2, 13, 26, 467, 934, 6071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12129 and 12142. The biggest common factor number is the GCF number.
So the greatest common factor 12129 and 12142 is 13.

Also check out the Least Common Multiple of 12129 and 12142