What is the Greatest Common Factor of 12264 and 12276?

Greatest common factor (GCF) of 12264 and 12276 is 12.

GCF(12264,12276) = 12

We will now calculate the prime factors of 12264 and 12276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12264 and 12276.

How to find the GCF of 12264 and 12276?

We will first find the prime factorization of 12264 and 12276. After we will calculate the factors of 12264 and 12276 and find the biggest common factor number .

Step-1: Prime Factorization of 12264

Prime factors of 12264 are 2, 3, 7, 73. Prime factorization of 12264 in exponential form is:

12264 = 2³ × 3¹ × 7¹ × 73¹

Step-2: Prime Factorization of 12276

Prime factors of 12276 are 2, 3, 11, 31. Prime factorization of 12276 in exponential form is:

12276 = 2² × 3² × 11¹ × 31¹

Step-3: Factors of 12264

List of positive integer factors of 12264 that divides 12264 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 73, 84, 146, 168, 219, 292, 438, 511, 584, 876, 1022, 1533, 1752, 2044, 3066, 4088, 6132

Step-4: Factors of 12276

List of positive integer factors of 12276 that divides 12264 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 31, 33, 36, 44, 62, 66, 93, 99, 124, 132, 186, 198, 279, 341, 372, 396, 558, 682, 1023, 1116, 1364, 2046, 3069, 4092, 6138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12264 and 12276. The biggest common factor number is the GCF number.
So the greatest common factor 12264 and 12276 is 12.

Also check out the Least Common Multiple of 12264 and 12276