What is the Greatest Common Factor of 6930 and 6948?

Greatest common factor (GCF) of 6930 and 6948 is 18.

GCF(6930,6948) = 18

We will now calculate the prime factors of 6930 and 6948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6930 and 6948.

How to find the GCF of 6930 and 6948?

We will first find the prime factorization of 6930 and 6948. After we will calculate the factors of 6930 and 6948 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 6948

Prime factors of 6948 are 2, 3, 193. Prime factorization of 6948 in exponential form is:

6948 = 2² × 3² × 193¹

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 6948

List of positive integer factors of 6948 that divides 6930 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6930 and 6948. The biggest common factor number is the GCF number.
So the greatest common factor 6930 and 6948 is 18.

Also check out the Least Common Multiple of 6930 and 6948