What is the Greatest Common Factor of 12957 and 12963?

Greatest common factor (GCF) of 12957 and 12963 is 3.

GCF(12957,12963) = 3

We will now calculate the prime factors of 12957 and 12963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12957 and 12963.

How to find the GCF of 12957 and 12963?

We will first find the prime factorization of 12957 and 12963. After we will calculate the factors of 12957 and 12963 and find the biggest common factor number .

Step-1: Prime Factorization of 12957

Prime factors of 12957 are 3, 7, 617. Prime factorization of 12957 in exponential form is:

12957 = 3¹ × 7¹ × 617¹

Step-2: Prime Factorization of 12963

Prime factors of 12963 are 3, 29, 149. Prime factorization of 12963 in exponential form is:

12963 = 3¹ × 29¹ × 149¹

Step-3: Factors of 12957

List of positive integer factors of 12957 that divides 12957 without a remainder.

1, 3, 7, 21, 617, 1851, 4319

Step-4: Factors of 12963

List of positive integer factors of 12963 that divides 12957 without a remainder.

1, 3, 29, 87, 149, 447, 4321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12957 and 12963. The biggest common factor number is the GCF number.
So the greatest common factor 12957 and 12963 is 3.

Also check out the Least Common Multiple of 12957 and 12963