What is the Greatest Common Factor of 12468 and 12483?

Greatest common factor (GCF) of 12468 and 12483 is 3.

GCF(12468,12483) = 3

We will now calculate the prime factors of 12468 and 12483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12468 and 12483.

How to find the GCF of 12468 and 12483?

We will first find the prime factorization of 12468 and 12483. After we will calculate the factors of 12468 and 12483 and find the biggest common factor number .

Step-1: Prime Factorization of 12468

Prime factors of 12468 are 2, 3, 1039. Prime factorization of 12468 in exponential form is:

12468 = 2² × 3¹ × 1039¹

Step-2: Prime Factorization of 12483

Prime factors of 12483 are 3, 19, 73. Prime factorization of 12483 in exponential form is:

12483 = 3² × 19¹ × 73¹

Step-3: Factors of 12468

List of positive integer factors of 12468 that divides 12468 without a remainder.

1, 2, 3, 4, 6, 12, 1039, 2078, 3117, 4156, 6234

Step-4: Factors of 12483

List of positive integer factors of 12483 that divides 12468 without a remainder.

1, 3, 9, 19, 57, 73, 171, 219, 657, 1387, 4161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12468 and 12483. The biggest common factor number is the GCF number.
So the greatest common factor 12468 and 12483 is 3.

Also check out the Least Common Multiple of 12468 and 12483