What is the Greatest Common Factor of 12144 and 12150?

Greatest common factor (GCF) of 12144 and 12150 is 6.

GCF(12144,12150) = 6

We will now calculate the prime factors of 12144 and 12150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12144 and 12150.

How to find the GCF of 12144 and 12150?

We will first find the prime factorization of 12144 and 12150. After we will calculate the factors of 12144 and 12150 and find the biggest common factor number .

Step-1: Prime Factorization of 12144

Prime factors of 12144 are 2, 3, 11, 23. Prime factorization of 12144 in exponential form is:

12144 = 2⁴ × 3¹ × 11¹ × 23¹

Step-2: 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-3: Factors of 12144

List of positive integer factors of 12144 that divides 12144 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 23, 24, 33, 44, 46, 48, 66, 69, 88, 92, 132, 138, 176, 184, 253, 264, 276, 368, 506, 528, 552, 759, 1012, 1104, 1518, 2024, 3036, 4048, 6072

Step-4: Factors of 12150

List of positive integer factors of 12150 that divides 12144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12144 and 12150. The biggest common factor number is the GCF number.
So the greatest common factor 12144 and 12150 is 6.

Also check out the Least Common Multiple of 12144 and 12150