What is the Greatest Common Factor of 12891 and 12900?

Greatest common factor (GCF) of 12891 and 12900 is 3.

GCF(12891,12900) = 3

We will now calculate the prime factors of 12891 and 12900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12891 and 12900.

How to find the GCF of 12891 and 12900?

We will first find the prime factorization of 12891 and 12900. After we will calculate the factors of 12891 and 12900 and find the biggest common factor number .

Step-1: Prime Factorization of 12891

Prime factors of 12891 are 3, 4297. Prime factorization of 12891 in exponential form is:

12891 = 3¹ × 4297¹

Step-2: Prime Factorization of 12900

Prime factors of 12900 are 2, 3, 5, 43. Prime factorization of 12900 in exponential form is:

12900 = 2² × 3¹ × 5² × 43¹

Step-3: Factors of 12891

List of positive integer factors of 12891 that divides 12891 without a remainder.

1, 3, 4297

Step-4: Factors of 12900

List of positive integer factors of 12900 that divides 12891 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 43, 50, 60, 75, 86, 100, 129, 150, 172, 215, 258, 300, 430, 516, 645, 860, 1075, 1290, 2150, 2580, 3225, 4300, 6450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12891 and 12900. The biggest common factor number is the GCF number.
So the greatest common factor 12891 and 12900 is 3.

Also check out the Least Common Multiple of 12891 and 12900