What is the Greatest Common Factor of 12144 and 12153?

Greatest common factor (GCF) of 12144 and 12153 is 3.

GCF(12144,12153) = 3

We will now calculate the prime factors of 12144 and 12153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12144 and 12153.

How to find the GCF of 12144 and 12153?

We will first find the prime factorization of 12144 and 12153. After we will calculate the factors of 12144 and 12153 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 12153

Prime factors of 12153 are 3, 4051. Prime factorization of 12153 in exponential form is:

12153 = 3¹ × 4051¹

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 12153

List of positive integer factors of 12153 that divides 12144 without a remainder.

1, 3, 4051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12144 and 12153. The biggest common factor number is the GCF number.
So the greatest common factor 12144 and 12153 is 3.

Also check out the Least Common Multiple of 12144 and 12153