What is the Greatest Common Factor of 12864 and 12868?

Greatest common factor (GCF) of 12864 and 12868 is 4.

GCF(12864,12868) = 4

We will now calculate the prime factors of 12864 and 12868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12864 and 12868.

How to find the GCF of 12864 and 12868?

We will first find the prime factorization of 12864 and 12868. After we will calculate the factors of 12864 and 12868 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 12868

Prime factors of 12868 are 2, 3217. Prime factorization of 12868 in exponential form is:

12868 = 2² × 3217¹

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 12868

List of positive integer factors of 12868 that divides 12864 without a remainder.

1, 2, 4, 3217, 6434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12864 and 12868. The biggest common factor number is the GCF number.
So the greatest common factor 12864 and 12868 is 4.

Also check out the Least Common Multiple of 12864 and 12868