What is the Greatest Common Factor of 12257 and 12264?

Greatest common factor (GCF) of 12257 and 12264 is 7.

GCF(12257,12264) = 7

We will now calculate the prime factors of 12257 and 12264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12257 and 12264.

How to find the GCF of 12257 and 12264?

We will first find the prime factorization of 12257 and 12264. After we will calculate the factors of 12257 and 12264 and find the biggest common factor number .

Step-1: Prime Factorization of 12257

Prime factors of 12257 are 7, 17, 103. Prime factorization of 12257 in exponential form is:

12257 = 7¹ × 17¹ × 103¹

Step-2: 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-3: Factors of 12257

List of positive integer factors of 12257 that divides 12257 without a remainder.

1, 7, 17, 103, 119, 721, 1751

Step-4: Factors of 12264

List of positive integer factors of 12264 that divides 12257 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12257 and 12264. The biggest common factor number is the GCF number.
So the greatest common factor 12257 and 12264 is 7.

Also check out the Least Common Multiple of 12257 and 12264