What is the Greatest Common Factor of 12800 and 12805?

Greatest common factor (GCF) of 12800 and 12805 is 5.

GCF(12800,12805) = 5

We will now calculate the prime factors of 12800 and 12805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12800 and 12805.

How to find the GCF of 12800 and 12805?

We will first find the prime factorization of 12800 and 12805. After we will calculate the factors of 12800 and 12805 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 12805

Prime factors of 12805 are 5, 13, 197. Prime factorization of 12805 in exponential form is:

12805 = 5¹ × 13¹ × 197¹

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 12805

List of positive integer factors of 12805 that divides 12800 without a remainder.

1, 5, 13, 65, 197, 985, 2561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12800 and 12805. The biggest common factor number is the GCF number.
So the greatest common factor 12800 and 12805 is 5.

Also check out the Least Common Multiple of 12800 and 12805