What is the Greatest Common Factor of 11891 and 11902?

Greatest common factor (GCF) of 11891 and 11902 is 11.

GCF(11891,11902) = 11

We will now calculate the prime factors of 11891 and 11902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11891 and 11902.

How to find the GCF of 11891 and 11902?

We will first find the prime factorization of 11891 and 11902. After we will calculate the factors of 11891 and 11902 and find the biggest common factor number .

Step-1: Prime Factorization of 11891

Prime factors of 11891 are 11, 23, 47. Prime factorization of 11891 in exponential form is:

11891 = 11¹ × 23¹ × 47¹

Step-2: Prime Factorization of 11902

Prime factors of 11902 are 2, 11, 541. Prime factorization of 11902 in exponential form is:

11902 = 2¹ × 11¹ × 541¹

Step-3: Factors of 11891

List of positive integer factors of 11891 that divides 11891 without a remainder.

1, 11, 23, 47, 253, 517, 1081

Step-4: Factors of 11902

List of positive integer factors of 11902 that divides 11891 without a remainder.

1, 2, 11, 22, 541, 1082, 5951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11891 and 11902. The biggest common factor number is the GCF number.
So the greatest common factor 11891 and 11902 is 11.

Also check out the Least Common Multiple of 11891 and 11902