What is the Greatest Common Factor of 11857 and 11875?

Greatest common factor (GCF) of 11857 and 11875 is 1.

GCF(11857,11875) = 1

We will now calculate the prime factors of 11857 and 11875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11857 and 11875.

How to find the GCF of 11857 and 11875?

We will first find the prime factorization of 11857 and 11875. After we will calculate the factors of 11857 and 11875 and find the biggest common factor number .

Step-1: Prime Factorization of 11857

Prime factors of 11857 are 71, 167. Prime factorization of 11857 in exponential form is:

11857 = 71¹ × 167¹

Step-2: Prime Factorization of 11875

Prime factors of 11875 are 5, 19. Prime factorization of 11875 in exponential form is:

11875 = 5⁴ × 19¹

Step-3: Factors of 11857

List of positive integer factors of 11857 that divides 11857 without a remainder.

1, 71, 167

Step-4: Factors of 11875

List of positive integer factors of 11875 that divides 11857 without a remainder.

1, 5, 19, 25, 95, 125, 475, 625, 2375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11857 and 11875. The biggest common factor number is the GCF number.
So the greatest common factor 11857 and 11875 is 1.

Also check out the Least Common Multiple of 11857 and 11875