What is the Greatest Common Factor of 12096 and 12111?

Greatest common factor (GCF) of 12096 and 12111 is 3.

GCF(12096,12111) = 3

We will now calculate the prime factors of 12096 and 12111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12096 and 12111.

How to find the GCF of 12096 and 12111?

We will first find the prime factorization of 12096 and 12111. After we will calculate the factors of 12096 and 12111 and find the biggest common factor number .

Step-1: Prime Factorization of 12096

Prime factors of 12096 are 2, 3, 7. Prime factorization of 12096 in exponential form is:

12096 = 2⁶ × 3³ × 7¹

Step-2: Prime Factorization of 12111

Prime factors of 12111 are 3, 11, 367. Prime factorization of 12111 in exponential form is:

12111 = 3¹ × 11¹ × 367¹

Step-3: Factors of 12096

List of positive integer factors of 12096 that divides 12096 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 64, 72, 84, 96, 108, 112, 126, 144, 168, 189, 192, 216, 224, 252, 288, 336, 378, 432, 448, 504, 576, 672, 756, 864, 1008, 1344, 1512, 1728, 2016, 3024, 4032, 6048

Step-4: Factors of 12111

List of positive integer factors of 12111 that divides 12096 without a remainder.

1, 3, 11, 33, 367, 1101, 4037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12096 and 12111. The biggest common factor number is the GCF number.
So the greatest common factor 12096 and 12111 is 3.

Also check out the Least Common Multiple of 12096 and 12111