What is the Greatest Common Factor of 12894 and 12904?

Greatest common factor (GCF) of 12894 and 12904 is 2.

GCF(12894,12904) = 2

We will now calculate the prime factors of 12894 and 12904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12894 and 12904.

How to find the GCF of 12894 and 12904?

We will first find the prime factorization of 12894 and 12904. After we will calculate the factors of 12894 and 12904 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 12904

Prime factors of 12904 are 2, 1613. Prime factorization of 12904 in exponential form is:

12904 = 2³ × 1613¹

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 12904

List of positive integer factors of 12904 that divides 12894 without a remainder.

1, 2, 4, 8, 1613, 3226, 6452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12894 and 12904. The biggest common factor number is the GCF number.
So the greatest common factor 12894 and 12904 is 2.

Also check out the Least Common Multiple of 12894 and 12904