What is the Greatest Common Factor of 12885 and 12896?

Greatest common factor (GCF) of 12885 and 12896 is 1.

GCF(12885,12896) = 1

We will now calculate the prime factors of 12885 and 12896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12885 and 12896.

How to find the GCF of 12885 and 12896?

We will first find the prime factorization of 12885 and 12896. After we will calculate the factors of 12885 and 12896 and find the biggest common factor number .

Step-1: Prime Factorization of 12885

Prime factors of 12885 are 3, 5, 859. Prime factorization of 12885 in exponential form is:

12885 = 3¹ × 5¹ × 859¹

Step-2: Prime Factorization of 12896

Prime factors of 12896 are 2, 13, 31. Prime factorization of 12896 in exponential form is:

12896 = 2⁵ × 13¹ × 31¹

Step-3: Factors of 12885

List of positive integer factors of 12885 that divides 12885 without a remainder.

1, 3, 5, 15, 859, 2577, 4295

Step-4: Factors of 12896

List of positive integer factors of 12896 that divides 12885 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 32, 52, 62, 104, 124, 208, 248, 403, 416, 496, 806, 992, 1612, 3224, 6448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12885 and 12896. The biggest common factor number is the GCF number.
So the greatest common factor 12885 and 12896 is 1.

Also check out the Least Common Multiple of 12885 and 12896