What is the Greatest Common Factor of 12946 and 12954?

Greatest common factor (GCF) of 12946 and 12954 is 2.

GCF(12946,12954) = 2

We will now calculate the prime factors of 12946 and 12954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12946 and 12954.

How to find the GCF of 12946 and 12954?

We will first find the prime factorization of 12946 and 12954. After we will calculate the factors of 12946 and 12954 and find the biggest common factor number .

Step-1: Prime Factorization of 12946

Prime factors of 12946 are 2, 6473. Prime factorization of 12946 in exponential form is:

12946 = 2¹ × 6473¹

Step-2: 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-3: Factors of 12946

List of positive integer factors of 12946 that divides 12946 without a remainder.

1, 2, 6473

Step-4: Factors of 12954

List of positive integer factors of 12954 that divides 12946 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12946 and 12954. The biggest common factor number is the GCF number.
So the greatest common factor 12946 and 12954 is 2.

Also check out the Least Common Multiple of 12946 and 12954