What is the Greatest Common Factor of 12885 and 12900?

Greatest common factor (GCF) of 12885 and 12900 is 15.

GCF(12885,12900) = 15

We will now calculate the prime factors of 12885 and 12900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12885 and 12900.

How to find the GCF of 12885 and 12900?

We will first find the prime factorization of 12885 and 12900. After we will calculate the factors of 12885 and 12900 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 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 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 12900

List of positive integer factors of 12900 that divides 12885 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 12885 and 12900. The biggest common factor number is the GCF number.
So the greatest common factor 12885 and 12900 is 15.

Also check out the Least Common Multiple of 12885 and 12900