What is the Greatest Common Factor of 12864 and 12876?

Greatest common factor (GCF) of 12864 and 12876 is 12.

GCF(12864,12876) = 12

We will now calculate the prime factors of 12864 and 12876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12864 and 12876.

How to find the GCF of 12864 and 12876?

We will first find the prime factorization of 12864 and 12876. After we will calculate the factors of 12864 and 12876 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 12876

Prime factors of 12876 are 2, 3, 29, 37. Prime factorization of 12876 in exponential form is:

12876 = 2² × 3¹ × 29¹ × 37¹

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 12876

List of positive integer factors of 12876 that divides 12864 without a remainder.

1, 2, 3, 4, 6, 12, 29, 37, 58, 74, 87, 111, 116, 148, 174, 222, 348, 444, 1073, 2146, 3219, 4292, 6438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12864 and 12876. The biggest common factor number is the GCF number.
So the greatest common factor 12864 and 12876 is 12.

Also check out the Least Common Multiple of 12864 and 12876