What is the Greatest Common Factor of 11946 and 11966?

Greatest common factor (GCF) of 11946 and 11966 is 2.

GCF(11946,11966) = 2

We will now calculate the prime factors of 11946 and 11966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11946 and 11966.

How to find the GCF of 11946 and 11966?

We will first find the prime factorization of 11946 and 11966. After we will calculate the factors of 11946 and 11966 and find the biggest common factor number .

Step-1: Prime Factorization of 11946

Prime factors of 11946 are 2, 3, 11, 181. Prime factorization of 11946 in exponential form is:

11946 = 2¹ × 3¹ × 11¹ × 181¹

Step-2: Prime Factorization of 11966

Prime factors of 11966 are 2, 31, 193. Prime factorization of 11966 in exponential form is:

11966 = 2¹ × 31¹ × 193¹

Step-3: Factors of 11946

List of positive integer factors of 11946 that divides 11946 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 181, 362, 543, 1086, 1991, 3982, 5973

Step-4: Factors of 11966

List of positive integer factors of 11966 that divides 11946 without a remainder.

1, 2, 31, 62, 193, 386, 5983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11946 and 11966. The biggest common factor number is the GCF number.
So the greatest common factor 11946 and 11966 is 2.

Also check out the Least Common Multiple of 11946 and 11966