What is the Greatest Common Factor of 23808 and 23822?

Greatest common factor (GCF) of 23808 and 23822 is 2.

GCF(23808,23822) = 2

We will now calculate the prime factors of 23808 and 23822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23808 and 23822.

How to find the GCF of 23808 and 23822?

We will first find the prime factorization of 23808 and 23822. After we will calculate the factors of 23808 and 23822 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 23822

Prime factors of 23822 are 2, 43, 277. Prime factorization of 23822 in exponential form is:

23822 = 2¹ × 43¹ × 277¹

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 23822

List of positive integer factors of 23822 that divides 23808 without a remainder.

1, 2, 43, 86, 277, 554, 11911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23808 and 23822. The biggest common factor number is the GCF number.
So the greatest common factor 23808 and 23822 is 2.

Also check out the Least Common Multiple of 23808 and 23822