What is the Greatest Common Factor of 12168 and 12181?

Greatest common factor (GCF) of 12168 and 12181 is 13.

GCF(12168,12181) = 13

We will now calculate the prime factors of 12168 and 12181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12168 and 12181.

How to find the GCF of 12168 and 12181?

We will first find the prime factorization of 12168 and 12181. After we will calculate the factors of 12168 and 12181 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 12181

Prime factors of 12181 are 13, 937. Prime factorization of 12181 in exponential form is:

12181 = 13¹ × 937¹

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 12181

List of positive integer factors of 12181 that divides 12168 without a remainder.

1, 13, 937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12168 and 12181. The biggest common factor number is the GCF number.
So the greatest common factor 12168 and 12181 is 13.

Also check out the Least Common Multiple of 12168 and 12181