What is the Greatest Common Factor of 11910 and 11919?

Greatest common factor (GCF) of 11910 and 11919 is 3.

GCF(11910,11919) = 3

We will now calculate the prime factors of 11910 and 11919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11910 and 11919.

How to find the GCF of 11910 and 11919?

We will first find the prime factorization of 11910 and 11919. After we will calculate the factors of 11910 and 11919 and find the biggest common factor number .

Step-1: Prime Factorization of 11910

Prime factors of 11910 are 2, 3, 5, 397. Prime factorization of 11910 in exponential form is:

11910 = 2¹ × 3¹ × 5¹ × 397¹

Step-2: Prime Factorization of 11919

Prime factors of 11919 are 3, 29, 137. Prime factorization of 11919 in exponential form is:

11919 = 3¹ × 29¹ × 137¹

Step-3: Factors of 11910

List of positive integer factors of 11910 that divides 11910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 397, 794, 1191, 1985, 2382, 3970, 5955

Step-4: Factors of 11919

List of positive integer factors of 11919 that divides 11910 without a remainder.

1, 3, 29, 87, 137, 411, 3973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11910 and 11919. The biggest common factor number is the GCF number.
So the greatest common factor 11910 and 11919 is 3.

Also check out the Least Common Multiple of 11910 and 11919