What is the Greatest Common Factor of 6919 and 6930?

Greatest common factor (GCF) of 6919 and 6930 is 11.

GCF(6919,6930) = 11

We will now calculate the prime factors of 6919 and 6930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6919 and 6930.

How to find the GCF of 6919 and 6930?

We will first find the prime factorization of 6919 and 6930. After we will calculate the factors of 6919 and 6930 and find the biggest common factor number .

Step-1: Prime Factorization of 6919

Prime factors of 6919 are 11, 17, 37. Prime factorization of 6919 in exponential form is:

6919 = 11¹ × 17¹ × 37¹

Step-2: 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-3: Factors of 6919

List of positive integer factors of 6919 that divides 6919 without a remainder.

1, 11, 17, 37, 187, 407, 629

Step-4: Factors of 6930

List of positive integer factors of 6930 that divides 6919 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6919 and 6930. The biggest common factor number is the GCF number.
So the greatest common factor 6919 and 6930 is 11.

Also check out the Least Common Multiple of 6919 and 6930