What is the Greatest Common Factor of 12150 and 12168?

Greatest common factor (GCF) of 12150 and 12168 is 18.

GCF(12150,12168) = 18

We will now calculate the prime factors of 12150 and 12168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12150 and 12168.

How to find the GCF of 12150 and 12168?

We will first find the prime factorization of 12150 and 12168. After we will calculate the factors of 12150 and 12168 and find the biggest common factor number .

Step-1: Prime Factorization of 12150

Prime factors of 12150 are 2, 3, 5. Prime factorization of 12150 in exponential form is:

12150 = 2¹ × 3⁵ × 5²

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 12150

List of positive integer factors of 12150 that divides 12150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 243, 270, 405, 450, 486, 675, 810, 1215, 1350, 2025, 2430, 4050, 6075

Step-4: Factors of 12168

List of positive integer factors of 12168 that divides 12150 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 12150 and 12168. The biggest common factor number is the GCF number.
So the greatest common factor 12150 and 12168 is 18.

Also check out the Least Common Multiple of 12150 and 12168