What is the Greatest Common Factor of 11906 and 11926?

Greatest common factor (GCF) of 11906 and 11926 is 2.

GCF(11906,11926) = 2

We will now calculate the prime factors of 11906 and 11926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11906 and 11926.

How to find the GCF of 11906 and 11926?

We will first find the prime factorization of 11906 and 11926. After we will calculate the factors of 11906 and 11926 and find the biggest common factor number .

Step-1: Prime Factorization of 11906

Prime factors of 11906 are 2, 5953. Prime factorization of 11906 in exponential form is:

11906 = 2¹ × 5953¹

Step-2: Prime Factorization of 11926

Prime factors of 11926 are 2, 67, 89. Prime factorization of 11926 in exponential form is:

11926 = 2¹ × 67¹ × 89¹

Step-3: Factors of 11906

List of positive integer factors of 11906 that divides 11906 without a remainder.

1, 2, 5953

Step-4: Factors of 11926

List of positive integer factors of 11926 that divides 11906 without a remainder.

1, 2, 67, 89, 134, 178, 5963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11906 and 11926. The biggest common factor number is the GCF number.
So the greatest common factor 11906 and 11926 is 2.

Also check out the Least Common Multiple of 11906 and 11926