What is the Greatest Common Factor of 12138 and 12156?

Greatest common factor (GCF) of 12138 and 12156 is 6.

GCF(12138,12156) = 6

We will now calculate the prime factors of 12138 and 12156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12138 and 12156.

How to find the GCF of 12138 and 12156?

We will first find the prime factorization of 12138 and 12156. After we will calculate the factors of 12138 and 12156 and find the biggest common factor number .

Step-1: Prime Factorization of 12138

Prime factors of 12138 are 2, 3, 7, 17. Prime factorization of 12138 in exponential form is:

12138 = 2¹ × 3¹ × 7¹ × 17²

Step-2: Prime Factorization of 12156

Prime factors of 12156 are 2, 3, 1013. Prime factorization of 12156 in exponential form is:

12156 = 2² × 3¹ × 1013¹

Step-3: Factors of 12138

List of positive integer factors of 12138 that divides 12138 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 289, 357, 578, 714, 867, 1734, 2023, 4046, 6069

Step-4: Factors of 12156

List of positive integer factors of 12156 that divides 12138 without a remainder.

1, 2, 3, 4, 6, 12, 1013, 2026, 3039, 4052, 6078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12138 and 12156. The biggest common factor number is the GCF number.
So the greatest common factor 12138 and 12156 is 6.

Also check out the Least Common Multiple of 12138 and 12156