What is the Greatest Common Factor of 12894 and 12906?

Greatest common factor (GCF) of 12894 and 12906 is 6.

GCF(12894,12906) = 6

We will now calculate the prime factors of 12894 and 12906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12894 and 12906.

How to find the GCF of 12894 and 12906?

We will first find the prime factorization of 12894 and 12906. After we will calculate the factors of 12894 and 12906 and find the biggest common factor number .

Step-1: Prime Factorization of 12894

Prime factors of 12894 are 2, 3, 7, 307. Prime factorization of 12894 in exponential form is:

12894 = 2¹ × 3¹ × 7¹ × 307¹

Step-2: Prime Factorization of 12906

Prime factors of 12906 are 2, 3, 239. Prime factorization of 12906 in exponential form is:

12906 = 2¹ × 3³ × 239¹

Step-3: Factors of 12894

List of positive integer factors of 12894 that divides 12894 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 307, 614, 921, 1842, 2149, 4298, 6447

Step-4: Factors of 12906

List of positive integer factors of 12906 that divides 12894 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 239, 478, 717, 1434, 2151, 4302, 6453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12894 and 12906. The biggest common factor number is the GCF number.
So the greatest common factor 12894 and 12906 is 6.

Also check out the Least Common Multiple of 12894 and 12906