What is the Greatest Common Factor of 11820 and 11829?

Greatest common factor (GCF) of 11820 and 11829 is 3.

GCF(11820,11829) = 3

We will now calculate the prime factors of 11820 and 11829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11820 and 11829.

How to find the GCF of 11820 and 11829?

We will first find the prime factorization of 11820 and 11829. After we will calculate the factors of 11820 and 11829 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11829

Prime factors of 11829 are 3, 3943. Prime factorization of 11829 in exponential form is:

11829 = 3¹ × 3943¹

Step-3: Factors of 11820

List of positive integer factors of 11820 that divides 11820 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

Step-4: Factors of 11829

List of positive integer factors of 11829 that divides 11820 without a remainder.

1, 3, 3943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11820 and 11829. The biggest common factor number is the GCF number.
So the greatest common factor 11820 and 11829 is 3.

Also check out the Least Common Multiple of 11820 and 11829