What is the Greatest Common Factor of 23820 and 23830?

Greatest common factor (GCF) of 23820 and 23830 is 10.

GCF(23820,23830) = 10

We will now calculate the prime factors of 23820 and 23830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23820 and 23830.

How to find the GCF of 23820 and 23830?

We will first find the prime factorization of 23820 and 23830. After we will calculate the factors of 23820 and 23830 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 23830

Prime factors of 23830 are 2, 5, 2383. Prime factorization of 23830 in exponential form is:

23830 = 2¹ × 5¹ × 2383¹

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 23830

List of positive integer factors of 23830 that divides 23820 without a remainder.

1, 2, 5, 10, 2383, 4766, 11915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23820 and 23830. The biggest common factor number is the GCF number.
So the greatest common factor 23820 and 23830 is 10.

Also check out the Least Common Multiple of 23820 and 23830