What is the Greatest Common Factor of 12876 and 12885?

Greatest common factor (GCF) of 12876 and 12885 is 3.

GCF(12876,12885) = 3

We will now calculate the prime factors of 12876 and 12885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12876 and 12885.

How to find the GCF of 12876 and 12885?

We will first find the prime factorization of 12876 and 12885. After we will calculate the factors of 12876 and 12885 and find the biggest common factor number .

Step-1: Prime Factorization of 12876

Prime factors of 12876 are 2, 3, 29, 37. Prime factorization of 12876 in exponential form is:

12876 = 2² × 3¹ × 29¹ × 37¹

Step-2: 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-3: Factors of 12876

List of positive integer factors of 12876 that divides 12876 without a remainder.

1, 2, 3, 4, 6, 12, 29, 37, 58, 74, 87, 111, 116, 148, 174, 222, 348, 444, 1073, 2146, 3219, 4292, 6438

Step-4: Factors of 12885

List of positive integer factors of 12885 that divides 12876 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12876 and 12885. The biggest common factor number is the GCF number.
So the greatest common factor 12876 and 12885 is 3.

Also check out the Least Common Multiple of 12876 and 12885