What is the Greatest Common Factor of 12264 and 12274?

Greatest common factor (GCF) of 12264 and 12274 is 2.

GCF(12264,12274) = 2

We will now calculate the prime factors of 12264 and 12274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12264 and 12274.

How to find the GCF of 12264 and 12274?

We will first find the prime factorization of 12264 and 12274. After we will calculate the factors of 12264 and 12274 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 12274

Prime factors of 12274 are 2, 17, 19. Prime factorization of 12274 in exponential form is:

12274 = 2¹ × 17¹ × 19²

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 12274

List of positive integer factors of 12274 that divides 12264 without a remainder.

1, 2, 17, 19, 34, 38, 323, 361, 646, 722, 6137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12264 and 12274. The biggest common factor number is the GCF number.
So the greatest common factor 12264 and 12274 is 2.

Also check out the Least Common Multiple of 12264 and 12274