What is the Greatest Common Factor of 11800 and 11820?

Greatest common factor (GCF) of 11800 and 11820 is 20.

GCF(11800,11820) = 20

We will now calculate the prime factors of 11800 and 11820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11800 and 11820.

How to find the GCF of 11800 and 11820?

We will first find the prime factorization of 11800 and 11820. After we will calculate the factors of 11800 and 11820 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 11820

Prime factors of 11820 are 2, 3, 5, 197. Prime factorization of 11820 in exponential form is:

11820 = 2² × 3¹ × 5¹ × 197¹

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 11820

List of positive integer factors of 11820 that divides 11800 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 197, 394, 591, 788, 985, 1182, 1970, 2364, 2955, 3940, 5910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11800 and 11820. The biggest common factor number is the GCF number.
So the greatest common factor 11800 and 11820 is 20.

Also check out the Least Common Multiple of 11800 and 11820