What is the Greatest Common Factor of 12132 and 12136?

Greatest common factor (GCF) of 12132 and 12136 is 4.

GCF(12132,12136) = 4

We will now calculate the prime factors of 12132 and 12136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12132 and 12136.

How to find the GCF of 12132 and 12136?

We will first find the prime factorization of 12132 and 12136. After we will calculate the factors of 12132 and 12136 and find the biggest common factor number .

Step-1: Prime Factorization of 12132

Prime factors of 12132 are 2, 3, 337. Prime factorization of 12132 in exponential form is:

12132 = 2² × 3² × 337¹

Step-2: Prime Factorization of 12136

Prime factors of 12136 are 2, 37, 41. Prime factorization of 12136 in exponential form is:

12136 = 2³ × 37¹ × 41¹

Step-3: Factors of 12132

List of positive integer factors of 12132 that divides 12132 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 337, 674, 1011, 1348, 2022, 3033, 4044, 6066

Step-4: Factors of 12136

List of positive integer factors of 12136 that divides 12132 without a remainder.

1, 2, 4, 8, 37, 41, 74, 82, 148, 164, 296, 328, 1517, 3034, 6068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12132 and 12136. The biggest common factor number is the GCF number.
So the greatest common factor 12132 and 12136 is 4.

Also check out the Least Common Multiple of 12132 and 12136