What is the Greatest Common Factor of 23800 and 23808?

Greatest common factor (GCF) of 23800 and 23808 is 8.

GCF(23800,23808) = 8

We will now calculate the prime factors of 23800 and 23808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23800 and 23808.

How to find the GCF of 23800 and 23808?

We will first find the prime factorization of 23800 and 23808. After we will calculate the factors of 23800 and 23808 and find the biggest common factor number .

Step-1: Prime Factorization of 23800

Prime factors of 23800 are 2, 5, 7, 17. Prime factorization of 23800 in exponential form is:

23800 = 2³ × 5² × 7¹ × 17¹

Step-2: 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-3: Factors of 23800

List of positive integer factors of 23800 that divides 23800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 25, 28, 34, 35, 40, 50, 56, 68, 70, 85, 100, 119, 136, 140, 170, 175, 200, 238, 280, 340, 350, 425, 476, 595, 680, 700, 850, 952, 1190, 1400, 1700, 2380, 2975, 3400, 4760, 5950, 11900

Step-4: Factors of 23808

List of positive integer factors of 23808 that divides 23800 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23800 and 23808. The biggest common factor number is the GCF number.
So the greatest common factor 23800 and 23808 is 8.

Also check out the Least Common Multiple of 23800 and 23808