What is the Greatest Common Factor of 6948 and 6966?

Greatest common factor (GCF) of 6948 and 6966 is 18.

GCF(6948,6966) = 18

We will now calculate the prime factors of 6948 and 6966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6948 and 6966.

How to find the GCF of 6948 and 6966?

We will first find the prime factorization of 6948 and 6966. After we will calculate the factors of 6948 and 6966 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6966

Prime factors of 6966 are 2, 3, 43. Prime factorization of 6966 in exponential form is:

6966 = 2¹ × 3⁴ × 43¹

Step-3: Factors of 6948

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

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

Step-4: Factors of 6966

List of positive integer factors of 6966 that divides 6948 without a remainder.

1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6948 and 6966. The biggest common factor number is the GCF number.
So the greatest common factor 6948 and 6966 is 18.

Also check out the Least Common Multiple of 6948 and 6966