What is the Greatest Common Factor of 11943 and 11961?

Greatest common factor (GCF) of 11943 and 11961 is 9.

GCF(11943,11961) = 9

We will now calculate the prime factors of 11943 and 11961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11943 and 11961.

How to find the GCF of 11943 and 11961?

We will first find the prime factorization of 11943 and 11961. After we will calculate the factors of 11943 and 11961 and find the biggest common factor number .

Step-1: Prime Factorization of 11943

Prime factors of 11943 are 3, 1327. Prime factorization of 11943 in exponential form is:

11943 = 3² × 1327¹

Step-2: Prime Factorization of 11961

Prime factors of 11961 are 3, 443. Prime factorization of 11961 in exponential form is:

11961 = 3³ × 443¹

Step-3: Factors of 11943

List of positive integer factors of 11943 that divides 11943 without a remainder.

1, 3, 9, 1327, 3981

Step-4: Factors of 11961

List of positive integer factors of 11961 that divides 11943 without a remainder.

1, 3, 9, 27, 443, 1329, 3987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11943 and 11961. The biggest common factor number is the GCF number.
So the greatest common factor 11943 and 11961 is 9.

Also check out the Least Common Multiple of 11943 and 11961