What is the Greatest Common Factor of 12930 and 12942?

Greatest common factor (GCF) of 12930 and 12942 is 6.

GCF(12930,12942) = 6

We will now calculate the prime factors of 12930 and 12942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12930 and 12942.

How to find the GCF of 12930 and 12942?

We will first find the prime factorization of 12930 and 12942. After we will calculate the factors of 12930 and 12942 and find the biggest common factor number .

Step-1: Prime Factorization of 12930

Prime factors of 12930 are 2, 3, 5, 431. Prime factorization of 12930 in exponential form is:

12930 = 2¹ × 3¹ × 5¹ × 431¹

Step-2: 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-3: Factors of 12930

List of positive integer factors of 12930 that divides 12930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 431, 862, 1293, 2155, 2586, 4310, 6465

Step-4: Factors of 12942

List of positive integer factors of 12942 that divides 12930 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12930 and 12942. The biggest common factor number is the GCF number.
So the greatest common factor 12930 and 12942 is 6.

Also check out the Least Common Multiple of 12930 and 12942