What is the Greatest Common Factor of 11838 and 11857?

Greatest common factor (GCF) of 11838 and 11857 is 1.

GCF(11838,11857) = 1

We will now calculate the prime factors of 11838 and 11857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11838 and 11857.

How to find the GCF of 11838 and 11857?

We will first find the prime factorization of 11838 and 11857. After we will calculate the factors of 11838 and 11857 and find the biggest common factor number .

Step-1: Prime Factorization of 11838

Prime factors of 11838 are 2, 3, 1973. Prime factorization of 11838 in exponential form is:

11838 = 2¹ × 3¹ × 1973¹

Step-2: Prime Factorization of 11857

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

11857 = 71¹ × 167¹

Step-3: Factors of 11838

List of positive integer factors of 11838 that divides 11838 without a remainder.

1, 2, 3, 6, 1973, 3946, 5919

Step-4: Factors of 11857

List of positive integer factors of 11857 that divides 11838 without a remainder.

1, 71, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11838 and 11857. The biggest common factor number is the GCF number.
So the greatest common factor 11838 and 11857 is 1.

Also check out the Least Common Multiple of 11838 and 11857