What is the Greatest Common Factor of 11838 and 11855?

Greatest common factor (GCF) of 11838 and 11855 is 1.

GCF(11838,11855) = 1

We will now calculate the prime factors of 11838 and 11855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11838 and 11855.

How to find the GCF of 11838 and 11855?

We will first find the prime factorization of 11838 and 11855. After we will calculate the factors of 11838 and 11855 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 11855

Prime factors of 11855 are 5, 2371. Prime factorization of 11855 in exponential form is:

11855 = 5¹ × 2371¹

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 11855

List of positive integer factors of 11855 that divides 11838 without a remainder.

1, 5, 2371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11838 and 11855. The biggest common factor number is the GCF number.
So the greatest common factor 11838 and 11855 is 1.

Also check out the Least Common Multiple of 11838 and 11855