What is the Greatest Common Factor of 12900 and 12908?

Greatest common factor (GCF) of 12900 and 12908 is 4.

GCF(12900,12908) = 4

We will now calculate the prime factors of 12900 and 12908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12900 and 12908.

How to find the GCF of 12900 and 12908?

We will first find the prime factorization of 12900 and 12908. After we will calculate the factors of 12900 and 12908 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12908

Prime factors of 12908 are 2, 7, 461. Prime factorization of 12908 in exponential form is:

12908 = 2² × 7¹ × 461¹

Step-3: Factors of 12900

List of positive integer factors of 12900 that divides 12900 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

Step-4: Factors of 12908

List of positive integer factors of 12908 that divides 12900 without a remainder.

1, 2, 4, 7, 14, 28, 461, 922, 1844, 3227, 6454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12900 and 12908. The biggest common factor number is the GCF number.
So the greatest common factor 12900 and 12908 is 4.

Also check out the Least Common Multiple of 12900 and 12908