What is the Greatest Common Factor of 11900 and 11910?

Greatest common factor (GCF) of 11900 and 11910 is 10.

GCF(11900,11910) = 10

We will now calculate the prime factors of 11900 and 11910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11900 and 11910.

How to find the GCF of 11900 and 11910?

We will first find the prime factorization of 11900 and 11910. After we will calculate the factors of 11900 and 11910 and find the biggest common factor number .

Step-1: Prime Factorization of 11900

Prime factors of 11900 are 2, 5, 7, 17. Prime factorization of 11900 in exponential form is:

11900 = 2² × 5² × 7¹ × 17¹

Step-2: 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-3: Factors of 11900

List of positive integer factors of 11900 that divides 11900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 25, 28, 34, 35, 50, 68, 70, 85, 100, 119, 140, 170, 175, 238, 340, 350, 425, 476, 595, 700, 850, 1190, 1700, 2380, 2975, 5950

Step-4: Factors of 11910

List of positive integer factors of 11910 that divides 11900 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11900 and 11910. The biggest common factor number is the GCF number.
So the greatest common factor 11900 and 11910 is 10.

Also check out the Least Common Multiple of 11900 and 11910