What is the Greatest Common Factor of 12168 and 12180?

Greatest common factor (GCF) of 12168 and 12180 is 12.

GCF(12168,12180) = 12

We will now calculate the prime factors of 12168 and 12180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12168 and 12180.

How to find the GCF of 12168 and 12180?

We will first find the prime factorization of 12168 and 12180. After we will calculate the factors of 12168 and 12180 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 12180

Prime factors of 12180 are 2, 3, 5, 7, 29. Prime factorization of 12180 in exponential form is:

12180 = 2² × 3¹ × 5¹ × 7¹ × 29¹

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 12180

List of positive integer factors of 12180 that divides 12168 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 29, 30, 35, 42, 58, 60, 70, 84, 87, 105, 116, 140, 145, 174, 203, 210, 290, 348, 406, 420, 435, 580, 609, 812, 870, 1015, 1218, 1740, 2030, 2436, 3045, 4060, 6090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12168 and 12180. The biggest common factor number is the GCF number.
So the greatest common factor 12168 and 12180 is 12.

Also check out the Least Common Multiple of 12168 and 12180