What is the Greatest Common Factor of 12854 and 12864?

Greatest common factor (GCF) of 12854 and 12864 is 2.

GCF(12854,12864) = 2

We will now calculate the prime factors of 12854 and 12864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12854 and 12864.

How to find the GCF of 12854 and 12864?

We will first find the prime factorization of 12854 and 12864. After we will calculate the factors of 12854 and 12864 and find the biggest common factor number .

Step-1: Prime Factorization of 12854

Prime factors of 12854 are 2, 6427. Prime factorization of 12854 in exponential form is:

12854 = 2¹ × 6427¹

Step-2: 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-3: Factors of 12854

List of positive integer factors of 12854 that divides 12854 without a remainder.

1, 2, 6427

Step-4: Factors of 12864

List of positive integer factors of 12864 that divides 12854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12854 and 12864. The biggest common factor number is the GCF number.
So the greatest common factor 12854 and 12864 is 2.

Also check out the Least Common Multiple of 12854 and 12864