What is the Greatest Common Factor of 12864 and 12872?

Greatest common factor (GCF) of 12864 and 12872 is 8.

GCF(12864,12872) = 8

We will now calculate the prime factors of 12864 and 12872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12864 and 12872.

How to find the GCF of 12864 and 12872?

We will first find the prime factorization of 12864 and 12872. After we will calculate the factors of 12864 and 12872 and find the biggest common factor number .

Step-1: Prime Factorization of 12864

Prime factors of 12864 are 2, 3, 67. Prime factorization of 12864 in exponential form is:

12864 = 2⁶ × 3¹ × 67¹

Step-2: Prime Factorization of 12872

Prime factors of 12872 are 2, 1609. Prime factorization of 12872 in exponential form is:

12872 = 2³ × 1609¹

Step-3: Factors of 12864

List of positive integer factors of 12864 that divides 12864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 67, 96, 134, 192, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 4288, 6432

Step-4: Factors of 12872

List of positive integer factors of 12872 that divides 12864 without a remainder.

1, 2, 4, 8, 1609, 3218, 6436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12864 and 12872. The biggest common factor number is the GCF number.
So the greatest common factor 12864 and 12872 is 8.

Also check out the Least Common Multiple of 12864 and 12872