What is the Greatest Common Factor of 12126 and 12144?

Greatest common factor (GCF) of 12126 and 12144 is 6.

GCF(12126,12144) = 6

We will now calculate the prime factors of 12126 and 12144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12126 and 12144.

How to find the GCF of 12126 and 12144?

We will first find the prime factorization of 12126 and 12144. After we will calculate the factors of 12126 and 12144 and find the biggest common factor number .

Step-1: Prime Factorization of 12126

Prime factors of 12126 are 2, 3, 43, 47. Prime factorization of 12126 in exponential form is:

12126 = 2¹ × 3¹ × 43¹ × 47¹

Step-2: 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-3: Factors of 12126

List of positive integer factors of 12126 that divides 12126 without a remainder.

1, 2, 3, 6, 43, 47, 86, 94, 129, 141, 258, 282, 2021, 4042, 6063

Step-4: Factors of 12144

List of positive integer factors of 12144 that divides 12126 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12126 and 12144. The biggest common factor number is the GCF number.
So the greatest common factor 12126 and 12144 is 6.

Also check out the Least Common Multiple of 12126 and 12144