What is the Greatest Common Factor of 11500 and 11511?

Greatest common factor (GCF) of 11500 and 11511 is 1.

GCF(11500,11511) = 1

We will now calculate the prime factors of 11500 and 11511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11500 and 11511.

How to find the GCF of 11500 and 11511?

We will first find the prime factorization of 11500 and 11511. After we will calculate the factors of 11500 and 11511 and find the biggest common factor number .

Step-1: Prime Factorization of 11500

Prime factors of 11500 are 2, 5, 23. Prime factorization of 11500 in exponential form is:

11500 = 2² × 5³ × 23¹

Step-2: Prime Factorization of 11511

Prime factors of 11511 are 3, 1279. Prime factorization of 11511 in exponential form is:

11511 = 3² × 1279¹

Step-3: Factors of 11500

List of positive integer factors of 11500 that divides 11500 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 125, 230, 250, 460, 500, 575, 1150, 2300, 2875, 5750

Step-4: Factors of 11511

List of positive integer factors of 11511 that divides 11500 without a remainder.

1, 3, 9, 1279, 3837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11500 and 11511. The biggest common factor number is the GCF number.
So the greatest common factor 11500 and 11511 is 1.

Also check out the Least Common Multiple of 11500 and 11511