What is the Greatest Common Factor of 23820 and 23829?

Greatest common factor (GCF) of 23820 and 23829 is 3.

GCF(23820,23829) = 3

We will now calculate the prime factors of 23820 and 23829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23820 and 23829.

How to find the GCF of 23820 and 23829?

We will first find the prime factorization of 23820 and 23829. After we will calculate the factors of 23820 and 23829 and find the biggest common factor number .

Step-1: Prime Factorization of 23820

Prime factors of 23820 are 2, 3, 5, 397. Prime factorization of 23820 in exponential form is:

23820 = 2² × 3¹ × 5¹ × 397¹

Step-2: Prime Factorization of 23829

Prime factors of 23829 are 3, 13, 47. Prime factorization of 23829 in exponential form is:

23829 = 3¹ × 13² × 47¹

Step-3: Factors of 23820

List of positive integer factors of 23820 that divides 23820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 397, 794, 1191, 1588, 1985, 2382, 3970, 4764, 5955, 7940, 11910

Step-4: Factors of 23829

List of positive integer factors of 23829 that divides 23820 without a remainder.

1, 3, 13, 39, 47, 141, 169, 507, 611, 1833, 7943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23820 and 23829. The biggest common factor number is the GCF number.
So the greatest common factor 23820 and 23829 is 3.

Also check out the Least Common Multiple of 23820 and 23829