What is the Greatest Common Factor of 11511 and 11531?

Greatest common factor (GCF) of 11511 and 11531 is 1.

GCF(11511,11531) = 1

We will now calculate the prime factors of 11511 and 11531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11511 and 11531.

How to find the GCF of 11511 and 11531?

We will first find the prime factorization of 11511 and 11531. After we will calculate the factors of 11511 and 11531 and find the biggest common factor number .

Step-1: Prime Factorization of 11511

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

11511 = 3² × 1279¹

Step-2: Prime Factorization of 11531

Prime factors of 11531 are 13, 887. Prime factorization of 11531 in exponential form is:

11531 = 13¹ × 887¹

Step-3: Factors of 11511

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

1, 3, 9, 1279, 3837

Step-4: Factors of 11531

List of positive integer factors of 11531 that divides 11511 without a remainder.

1, 13, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11511 and 11531. The biggest common factor number is the GCF number.
So the greatest common factor 11511 and 11531 is 1.

Also check out the Least Common Multiple of 11511 and 11531