What is the Greatest Common Factor of 11838 and 11858?

Greatest common factor (GCF) of 11838 and 11858 is 2.

GCF(11838,11858) = 2

We will now calculate the prime factors of 11838 and 11858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11838 and 11858.

How to find the GCF of 11838 and 11858?

We will first find the prime factorization of 11838 and 11858. After we will calculate the factors of 11838 and 11858 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 11858

Prime factors of 11858 are 2, 7, 11. Prime factorization of 11858 in exponential form is:

11858 = 2¹ × 7² × 11²

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 11858

List of positive integer factors of 11858 that divides 11838 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 98, 121, 154, 242, 539, 847, 1078, 1694, 5929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11838 and 11858. The biggest common factor number is the GCF number.
So the greatest common factor 11838 and 11858 is 2.

Also check out the Least Common Multiple of 11838 and 11858