What is the Greatest Common Factor of 12168 and 12186?

Greatest common factor (GCF) of 12168 and 12186 is 18.

GCF(12168,12186) = 18

We will now calculate the prime factors of 12168 and 12186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12168 and 12186.

How to find the GCF of 12168 and 12186?

We will first find the prime factorization of 12168 and 12186. After we will calculate the factors of 12168 and 12186 and find the biggest common factor number .

Step-1: Prime Factorization of 12168

Prime factors of 12168 are 2, 3, 13. Prime factorization of 12168 in exponential form is:

12168 = 2³ × 3² × 13²

Step-2: Prime Factorization of 12186

Prime factors of 12186 are 2, 3, 677. Prime factorization of 12186 in exponential form is:

12186 = 2¹ × 3² × 677¹

Step-3: Factors of 12168

List of positive integer factors of 12168 that divides 12168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 169, 234, 312, 338, 468, 507, 676, 936, 1014, 1352, 1521, 2028, 3042, 4056, 6084

Step-4: Factors of 12186

List of positive integer factors of 12186 that divides 12168 without a remainder.

1, 2, 3, 6, 9, 18, 677, 1354, 2031, 4062, 6093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12168 and 12186. The biggest common factor number is the GCF number.
So the greatest common factor 12168 and 12186 is 18.

Also check out the Least Common Multiple of 12168 and 12186