What is the Greatest Common Factor of 12945 and 12951?

Greatest common factor (GCF) of 12945 and 12951 is 3.

GCF(12945,12951) = 3

We will now calculate the prime factors of 12945 and 12951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12945 and 12951.

How to find the GCF of 12945 and 12951?

We will first find the prime factorization of 12945 and 12951. After we will calculate the factors of 12945 and 12951 and find the biggest common factor number .

Step-1: Prime Factorization of 12945

Prime factors of 12945 are 3, 5, 863. Prime factorization of 12945 in exponential form is:

12945 = 3¹ × 5¹ × 863¹

Step-2: Prime Factorization of 12951

Prime factors of 12951 are 3, 1439. Prime factorization of 12951 in exponential form is:

12951 = 3² × 1439¹

Step-3: Factors of 12945

List of positive integer factors of 12945 that divides 12945 without a remainder.

1, 3, 5, 15, 863, 2589, 4315

Step-4: Factors of 12951

List of positive integer factors of 12951 that divides 12945 without a remainder.

1, 3, 9, 1439, 4317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12945 and 12951. The biggest common factor number is the GCF number.
So the greatest common factor 12945 and 12951 is 3.

Also check out the Least Common Multiple of 12945 and 12951