What is the Greatest Common Factor of 11791 and 11804?

Greatest common factor (GCF) of 11791 and 11804 is 13.

GCF(11791,11804) = 13

We will now calculate the prime factors of 11791 and 11804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11791 and 11804.

How to find the GCF of 11791 and 11804?

We will first find the prime factorization of 11791 and 11804. After we will calculate the factors of 11791 and 11804 and find the biggest common factor number .

Step-1: Prime Factorization of 11791

Prime factors of 11791 are 13, 907. Prime factorization of 11791 in exponential form is:

11791 = 13¹ × 907¹

Step-2: Prime Factorization of 11804

Prime factors of 11804 are 2, 13, 227. Prime factorization of 11804 in exponential form is:

11804 = 2² × 13¹ × 227¹

Step-3: Factors of 11791

List of positive integer factors of 11791 that divides 11791 without a remainder.

1, 13, 907

Step-4: Factors of 11804

List of positive integer factors of 11804 that divides 11791 without a remainder.

1, 2, 4, 13, 26, 52, 227, 454, 908, 2951, 5902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11791 and 11804. The biggest common factor number is the GCF number.
So the greatest common factor 11791 and 11804 is 13.

Also check out the Least Common Multiple of 11791 and 11804