What is the Greatest Common Factor of 12114 and 12132?

Greatest common factor (GCF) of 12114 and 12132 is 18.

GCF(12114,12132) = 18

We will now calculate the prime factors of 12114 and 12132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12114 and 12132.

How to find the GCF of 12114 and 12132?

We will first find the prime factorization of 12114 and 12132. After we will calculate the factors of 12114 and 12132 and find the biggest common factor number .

Step-1: Prime Factorization of 12114

Prime factors of 12114 are 2, 3, 673. Prime factorization of 12114 in exponential form is:

12114 = 2¹ × 3² × 673¹

Step-2: 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-3: Factors of 12114

List of positive integer factors of 12114 that divides 12114 without a remainder.

1, 2, 3, 6, 9, 18, 673, 1346, 2019, 4038, 6057

Step-4: Factors of 12132

List of positive integer factors of 12132 that divides 12114 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12114 and 12132. The biggest common factor number is the GCF number.
So the greatest common factor 12114 and 12132 is 18.

Also check out the Least Common Multiple of 12114 and 12132