What is the Greatest Common Factor of 12942 and 12951?

Greatest common factor (GCF) of 12942 and 12951 is 9.

GCF(12942,12951) = 9

We will now calculate the prime factors of 12942 and 12951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12942 and 12951.

How to find the GCF of 12942 and 12951?

We will first find the prime factorization of 12942 and 12951. After we will calculate the factors of 12942 and 12951 and find the biggest common factor number .

Step-1: Prime Factorization of 12942

Prime factors of 12942 are 2, 3, 719. Prime factorization of 12942 in exponential form is:

12942 = 2¹ × 3² × 719¹

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 12942

List of positive integer factors of 12942 that divides 12942 without a remainder.

1, 2, 3, 6, 9, 18, 719, 1438, 2157, 4314, 6471

Step-4: Factors of 12951

List of positive integer factors of 12951 that divides 12942 without a remainder.

1, 3, 9, 1439, 4317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12942 and 12951. The biggest common factor number is the GCF number.
So the greatest common factor 12942 and 12951 is 9.

Also check out the Least Common Multiple of 12942 and 12951