What is the Greatest Common Factor of 23808 and 23824?

Greatest common factor (GCF) of 23808 and 23824 is 16.

GCF(23808,23824) = 16

We will now calculate the prime factors of 23808 and 23824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23808 and 23824.

How to find the GCF of 23808 and 23824?

We will first find the prime factorization of 23808 and 23824. After we will calculate the factors of 23808 and 23824 and find the biggest common factor number .

Step-1: Prime Factorization of 23808

Prime factors of 23808 are 2, 3, 31. Prime factorization of 23808 in exponential form is:

23808 = 2⁸ × 3¹ × 31¹

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 23808

List of positive integer factors of 23808 that divides 23808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 128, 186, 192, 248, 256, 372, 384, 496, 744, 768, 992, 1488, 1984, 2976, 3968, 5952, 7936, 11904

Step-4: Factors of 23824

List of positive integer factors of 23824 that divides 23808 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 23808 and 23824. The biggest common factor number is the GCF number.
So the greatest common factor 23808 and 23824 is 16.

Also check out the Least Common Multiple of 23808 and 23824