What is the Greatest Common Factor of 11800 and 11805?

Greatest common factor (GCF) of 11800 and 11805 is 5.

GCF(11800,11805) = 5

We will now calculate the prime factors of 11800 and 11805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11800 and 11805.

How to find the GCF of 11800 and 11805?

We will first find the prime factorization of 11800 and 11805. After we will calculate the factors of 11800 and 11805 and find the biggest common factor number .

Step-1: Prime Factorization of 11800

Prime factors of 11800 are 2, 5, 59. Prime factorization of 11800 in exponential form is:

11800 = 2³ × 5² × 59¹

Step-2: Prime Factorization of 11805

Prime factors of 11805 are 3, 5, 787. Prime factorization of 11805 in exponential form is:

11805 = 3¹ × 5¹ × 787¹

Step-3: Factors of 11800

List of positive integer factors of 11800 that divides 11800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 59, 100, 118, 200, 236, 295, 472, 590, 1180, 1475, 2360, 2950, 5900

Step-4: Factors of 11805

List of positive integer factors of 11805 that divides 11800 without a remainder.

1, 3, 5, 15, 787, 2361, 3935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11800 and 11805. The biggest common factor number is the GCF number.
So the greatest common factor 11800 and 11805 is 5.

Also check out the Least Common Multiple of 11800 and 11805