What is the Greatest Common Factor of 6946 and 6966?

Greatest common factor (GCF) of 6946 and 6966 is 2.

GCF(6946,6966) = 2

We will now calculate the prime factors of 6946 and 6966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6946 and 6966.

How to find the GCF of 6946 and 6966?

We will first find the prime factorization of 6946 and 6966. After we will calculate the factors of 6946 and 6966 and find the biggest common factor number .

Step-1: Prime Factorization of 6946

Prime factors of 6946 are 2, 23, 151. Prime factorization of 6946 in exponential form is:

6946 = 2¹ × 23¹ × 151¹

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 6946

List of positive integer factors of 6946 that divides 6946 without a remainder.

1, 2, 23, 46, 151, 302, 3473

Step-4: Factors of 6966

List of positive integer factors of 6966 that divides 6946 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 6946 and 6966. The biggest common factor number is the GCF number.
So the greatest common factor 6946 and 6966 is 2.

Also check out the Least Common Multiple of 6946 and 6966