What is the Greatest Common Factor of 12864 and 12870?

Greatest common factor (GCF) of 12864 and 12870 is 6.

GCF(12864,12870) = 6

We will now calculate the prime factors of 12864 and 12870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12864 and 12870.

How to find the GCF of 12864 and 12870?

We will first find the prime factorization of 12864 and 12870. After we will calculate the factors of 12864 and 12870 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 12870

Prime factors of 12870 are 2, 3, 5, 11, 13. Prime factorization of 12870 in exponential form is:

12870 = 2¹ × 3² × 5¹ × 11¹ × 13¹

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 12870

List of positive integer factors of 12870 that divides 12864 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 13, 15, 18, 22, 26, 30, 33, 39, 45, 55, 65, 66, 78, 90, 99, 110, 117, 130, 143, 165, 195, 198, 234, 286, 330, 390, 429, 495, 585, 715, 858, 990, 1170, 1287, 1430, 2145, 2574, 4290, 6435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12864 and 12870. The biggest common factor number is the GCF number.
So the greatest common factor 12864 and 12870 is 6.

Also check out the Least Common Multiple of 12864 and 12870