What is the Greatest Common Factor of 11838 and 11853?

Greatest common factor (GCF) of 11838 and 11853 is 3.

GCF(11838,11853) = 3

We will now calculate the prime factors of 11838 and 11853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11838 and 11853.

How to find the GCF of 11838 and 11853?

We will first find the prime factorization of 11838 and 11853. After we will calculate the factors of 11838 and 11853 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 11853

Prime factors of 11853 are 3, 439. Prime factorization of 11853 in exponential form is:

11853 = 3³ × 439¹

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 11853

List of positive integer factors of 11853 that divides 11838 without a remainder.

1, 3, 9, 27, 439, 1317, 3951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11838 and 11853. The biggest common factor number is the GCF number.
So the greatest common factor 11838 and 11853 is 3.

Also check out the Least Common Multiple of 11838 and 11853