What is the Greatest Common Factor of 11922 and 11931?

Greatest common factor (GCF) of 11922 and 11931 is 3.

GCF(11922,11931) = 3

We will now calculate the prime factors of 11922 and 11931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11922 and 11931.

How to find the GCF of 11922 and 11931?

We will first find the prime factorization of 11922 and 11931. After we will calculate the factors of 11922 and 11931 and find the biggest common factor number .

Step-1: Prime Factorization of 11922

Prime factors of 11922 are 2, 3, 1987. Prime factorization of 11922 in exponential form is:

11922 = 2¹ × 3¹ × 1987¹

Step-2: Prime Factorization of 11931

Prime factors of 11931 are 3, 41, 97. Prime factorization of 11931 in exponential form is:

11931 = 3¹ × 41¹ × 97¹

Step-3: Factors of 11922

List of positive integer factors of 11922 that divides 11922 without a remainder.

1, 2, 3, 6, 1987, 3974, 5961

Step-4: Factors of 11931

List of positive integer factors of 11931 that divides 11922 without a remainder.

1, 3, 41, 97, 123, 291, 3977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11922 and 11931. The biggest common factor number is the GCF number.
So the greatest common factor 11922 and 11931 is 3.

Also check out the Least Common Multiple of 11922 and 11931