What is the Greatest Common Factor of 6930 and 6939?

Greatest common factor (GCF) of 6930 and 6939 is 9.

GCF(6930,6939) = 9

We will now calculate the prime factors of 6930 and 6939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6930 and 6939.

How to find the GCF of 6930 and 6939?

We will first find the prime factorization of 6930 and 6939. After we will calculate the factors of 6930 and 6939 and find the biggest common factor number .

Step-1: Prime Factorization of 6930

Prime factors of 6930 are 2, 3, 5, 7, 11. Prime factorization of 6930 in exponential form is:

6930 = 2¹ × 3² × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 6939

Prime factors of 6939 are 3, 257. Prime factorization of 6939 in exponential form is:

6939 = 3³ × 257¹

Step-3: Factors of 6930

List of positive integer factors of 6930 that divides 6930 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 55, 63, 66, 70, 77, 90, 99, 105, 110, 126, 154, 165, 198, 210, 231, 315, 330, 385, 462, 495, 630, 693, 770, 990, 1155, 1386, 2310, 3465

Step-4: Factors of 6939

List of positive integer factors of 6939 that divides 6930 without a remainder.

1, 3, 9, 27, 257, 771, 2313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6930 and 6939. The biggest common factor number is the GCF number.
So the greatest common factor 6930 and 6939 is 9.

Also check out the Least Common Multiple of 6930 and 6939