What is the Greatest Common Factor of 11850 and 11863?

Greatest common factor (GCF) of 11850 and 11863 is 1.

GCF(11850,11863) = 1

We will now calculate the prime factors of 11850 and 11863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11850 and 11863.

How to find the GCF of 11850 and 11863?

We will first find the prime factorization of 11850 and 11863. After we will calculate the factors of 11850 and 11863 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 11863

Prime factors of 11863 are 11863. Prime factorization of 11863 in exponential form is:

11863 = 11863¹

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 11863

List of positive integer factors of 11863 that divides 11850 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11850 and 11863. The biggest common factor number is the GCF number.
So the greatest common factor 11850 and 11863 is 1.

Also check out the Least Common Multiple of 11850 and 11863