What is the Greatest Common Factor of 12144 and 12164?

Greatest common factor (GCF) of 12144 and 12164 is 4.

GCF(12144,12164) = 4

We will now calculate the prime factors of 12144 and 12164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12144 and 12164.

How to find the GCF of 12144 and 12164?

We will first find the prime factorization of 12144 and 12164. After we will calculate the factors of 12144 and 12164 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 12164

Prime factors of 12164 are 2, 3041. Prime factorization of 12164 in exponential form is:

12164 = 2² × 3041¹

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 12164

List of positive integer factors of 12164 that divides 12144 without a remainder.

1, 2, 4, 3041, 6082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12144 and 12164. The biggest common factor number is the GCF number.
So the greatest common factor 12144 and 12164 is 4.

Also check out the Least Common Multiple of 12144 and 12164