What is the Greatest Common Factor of 11900 and 11905?

Greatest common factor (GCF) of 11900 and 11905 is 5.

GCF(11900,11905) = 5

We will now calculate the prime factors of 11900 and 11905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11900 and 11905.

How to find the GCF of 11900 and 11905?

We will first find the prime factorization of 11900 and 11905. After we will calculate the factors of 11900 and 11905 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 11905

Prime factors of 11905 are 5, 2381. Prime factorization of 11905 in exponential form is:

11905 = 5¹ × 2381¹

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 11905

List of positive integer factors of 11905 that divides 11900 without a remainder.

1, 5, 2381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11900 and 11905. The biggest common factor number is the GCF number.
So the greatest common factor 11900 and 11905 is 5.

Also check out the Least Common Multiple of 11900 and 11905