What is the Greatest Common Factor of 12800 and 12816?

Greatest common factor (GCF) of 12800 and 12816 is 16.

GCF(12800,12816) = 16

We will now calculate the prime factors of 12800 and 12816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12800 and 12816.

How to find the GCF of 12800 and 12816?

We will first find the prime factorization of 12800 and 12816. After we will calculate the factors of 12800 and 12816 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 12816

Prime factors of 12816 are 2, 3, 89. Prime factorization of 12816 in exponential form is:

12816 = 2⁴ × 3² × 89¹

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 12816

List of positive integer factors of 12816 that divides 12800 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 89, 144, 178, 267, 356, 534, 712, 801, 1068, 1424, 1602, 2136, 3204, 4272, 6408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12800 and 12816. The biggest common factor number is the GCF number.
So the greatest common factor 12800 and 12816 is 16.

Also check out the Least Common Multiple of 12800 and 12816