What is the Greatest Common Factor of 11850 and 11857?

Greatest common factor (GCF) of 11850 and 11857 is 1.

GCF(11850,11857) = 1

We will now calculate the prime factors of 11850 and 11857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11850 and 11857.

How to find the GCF of 11850 and 11857?

We will first find the prime factorization of 11850 and 11857. After we will calculate the factors of 11850 and 11857 and find the biggest common factor number .

Step-1: Prime Factorization of 11850

Prime factors of 11850 are 2, 3, 5, 79. Prime factorization of 11850 in exponential form is:

11850 = 2¹ × 3¹ × 5² × 79¹

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 11850

List of positive integer factors of 11850 that divides 11850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 79, 150, 158, 237, 395, 474, 790, 1185, 1975, 2370, 3950, 5925

Step-4: Factors of 11857

List of positive integer factors of 11857 that divides 11850 without a remainder.

1, 71, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11850 and 11857. The biggest common factor number is the GCF number.
So the greatest common factor 11850 and 11857 is 1.

Also check out the Least Common Multiple of 11850 and 11857