What is the Greatest Common Factor of 12116 and 12129?

Greatest common factor (GCF) of 12116 and 12129 is 13.

GCF(12116,12129) = 13

We will now calculate the prime factors of 12116 and 12129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12116 and 12129.

How to find the GCF of 12116 and 12129?

We will first find the prime factorization of 12116 and 12129. After we will calculate the factors of 12116 and 12129 and find the biggest common factor number .

Step-1: Prime Factorization of 12116

Prime factors of 12116 are 2, 13, 233. Prime factorization of 12116 in exponential form is:

12116 = 2² × 13¹ × 233¹

Step-2: 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-3: Factors of 12116

List of positive integer factors of 12116 that divides 12116 without a remainder.

1, 2, 4, 13, 26, 52, 233, 466, 932, 3029, 6058

Step-4: Factors of 12129

List of positive integer factors of 12129 that divides 12116 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12116 and 12129. The biggest common factor number is the GCF number.
So the greatest common factor 12116 and 12129 is 13.

Also check out the Least Common Multiple of 12116 and 12129