What is the Greatest Common Factor of 12954 and 12966?

Greatest common factor (GCF) of 12954 and 12966 is 6.

GCF(12954,12966) = 6

We will now calculate the prime factors of 12954 and 12966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12954 and 12966.

How to find the GCF of 12954 and 12966?

We will first find the prime factorization of 12954 and 12966. After we will calculate the factors of 12954 and 12966 and find the biggest common factor number .

Step-1: Prime Factorization of 12954

Prime factors of 12954 are 2, 3, 17, 127. Prime factorization of 12954 in exponential form is:

12954 = 2¹ × 3¹ × 17¹ × 127¹

Step-2: Prime Factorization of 12966

Prime factors of 12966 are 2, 3, 2161. Prime factorization of 12966 in exponential form is:

12966 = 2¹ × 3¹ × 2161¹

Step-3: Factors of 12954

List of positive integer factors of 12954 that divides 12954 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 127, 254, 381, 762, 2159, 4318, 6477

Step-4: Factors of 12966

List of positive integer factors of 12966 that divides 12954 without a remainder.

1, 2, 3, 6, 2161, 4322, 6483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12954 and 12966. The biggest common factor number is the GCF number.
So the greatest common factor 12954 and 12966 is 6.

Also check out the Least Common Multiple of 12954 and 12966