What is the Greatest Common Factor of 12800 and 12810?

Greatest common factor (GCF) of 12800 and 12810 is 10.

GCF(12800,12810) = 10

We will now calculate the prime factors of 12800 and 12810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12800 and 12810.

How to find the GCF of 12800 and 12810?

We will first find the prime factorization of 12800 and 12810. After we will calculate the factors of 12800 and 12810 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 12810

Prime factors of 12810 are 2, 3, 5, 7, 61. Prime factorization of 12810 in exponential form is:

12810 = 2¹ × 3¹ × 5¹ × 7¹ × 61¹

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 12810

List of positive integer factors of 12810 that divides 12800 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 61, 70, 105, 122, 183, 210, 305, 366, 427, 610, 854, 915, 1281, 1830, 2135, 2562, 4270, 6405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12800 and 12810. The biggest common factor number is the GCF number.
So the greatest common factor 12800 and 12810 is 10.

Also check out the Least Common Multiple of 12800 and 12810