What is the Greatest Common Factor of 23820 and 23824?

Greatest common factor (GCF) of 23820 and 23824 is 4.

GCF(23820,23824) = 4

We will now calculate the prime factors of 23820 and 23824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23820 and 23824.

How to find the GCF of 23820 and 23824?

We will first find the prime factorization of 23820 and 23824. After we will calculate the factors of 23820 and 23824 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 23824

Prime factors of 23824 are 2, 1489. Prime factorization of 23824 in exponential form is:

23824 = 2⁴ × 1489¹

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 23824

List of positive integer factors of 23824 that divides 23820 without a remainder.

1, 2, 4, 8, 16, 1489, 2978, 5956, 11912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23820 and 23824. The biggest common factor number is the GCF number.
So the greatest common factor 23820 and 23824 is 4.

Also check out the Least Common Multiple of 23820 and 23824