What is the Greatest Common Factor of 12800 and 12808?

Greatest common factor (GCF) of 12800 and 12808 is 8.

GCF(12800,12808) = 8

We will now calculate the prime factors of 12800 and 12808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12800 and 12808.

How to find the GCF of 12800 and 12808?

We will first find the prime factorization of 12800 and 12808. After we will calculate the factors of 12800 and 12808 and find the biggest common factor number .

Step-1: Prime Factorization of 12800

Prime factors of 12800 are 2, 5. Prime factorization of 12800 in exponential form is:

12800 = 2⁹ × 5²

Step-2: Prime Factorization of 12808

Prime factors of 12808 are 2, 1601. Prime factorization of 12808 in exponential form is:

12808 = 2³ × 1601¹

Step-3: Factors of 12800

List of positive integer factors of 12800 that divides 12800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 512, 640, 800, 1280, 1600, 2560, 3200, 6400

Step-4: Factors of 12808

List of positive integer factors of 12808 that divides 12800 without a remainder.

1, 2, 4, 8, 1601, 3202, 6404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12800 and 12808. The biggest common factor number is the GCF number.
So the greatest common factor 12800 and 12808 is 8.

Also check out the Least Common Multiple of 12800 and 12808