What is the Greatest Common Factor of 12164 and 12168?

Greatest common factor (GCF) of 12164 and 12168 is 4.

GCF(12164,12168) = 4

We will now calculate the prime factors of 12164 and 12168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12164 and 12168.

How to find the GCF of 12164 and 12168?

We will first find the prime factorization of 12164 and 12168. After we will calculate the factors of 12164 and 12168 and find the biggest common factor number .

Step-1: Prime Factorization of 12164

Prime factors of 12164 are 2, 3041. Prime factorization of 12164 in exponential form is:

12164 = 2² × 3041¹

Step-2: 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-3: Factors of 12164

List of positive integer factors of 12164 that divides 12164 without a remainder.

1, 2, 4, 3041, 6082

Step-4: Factors of 12168

List of positive integer factors of 12168 that divides 12164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12164 and 12168. The biggest common factor number is the GCF number.
So the greatest common factor 12164 and 12168 is 4.

Also check out the Least Common Multiple of 12164 and 12168