What is the Greatest Common Factor of 12954 and 12962?

Greatest common factor (GCF) of 12954 and 12962 is 2.

GCF(12954,12962) = 2

We will now calculate the prime factors of 12954 and 12962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12954 and 12962.

How to find the GCF of 12954 and 12962?

We will first find the prime factorization of 12954 and 12962. After we will calculate the factors of 12954 and 12962 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 12962

Prime factors of 12962 are 2, 6481. Prime factorization of 12962 in exponential form is:

12962 = 2¹ × 6481¹

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 12962

List of positive integer factors of 12962 that divides 12954 without a remainder.

1, 2, 6481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12954 and 12962. The biggest common factor number is the GCF number.
So the greatest common factor 12954 and 12962 is 2.

Also check out the Least Common Multiple of 12954 and 12962