What is the Greatest Common Factor of 12864 and 12877?

Greatest common factor (GCF) of 12864 and 12877 is 1.

GCF(12864,12877) = 1

We will now calculate the prime factors of 12864 and 12877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12864 and 12877.

How to find the GCF of 12864 and 12877?

We will first find the prime factorization of 12864 and 12877. After we will calculate the factors of 12864 and 12877 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 12877

Prime factors of 12877 are 79, 163. Prime factorization of 12877 in exponential form is:

12877 = 79¹ × 163¹

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 12877

List of positive integer factors of 12877 that divides 12864 without a remainder.

1, 79, 163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12864 and 12877. The biggest common factor number is the GCF number.
So the greatest common factor 12864 and 12877 is 1.

Also check out the Least Common Multiple of 12864 and 12877