What is the Greatest Common Factor of 12405 and 12417?

Greatest common factor (GCF) of 12405 and 12417 is 3.

GCF(12405,12417) = 3

We will now calculate the prime factors of 12405 and 12417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12405 and 12417.

How to find the GCF of 12405 and 12417?

We will first find the prime factorization of 12405 and 12417. After we will calculate the factors of 12405 and 12417 and find the biggest common factor number .

Step-1: Prime Factorization of 12405

Prime factors of 12405 are 3, 5, 827. Prime factorization of 12405 in exponential form is:

12405 = 3¹ × 5¹ × 827¹

Step-2: Prime Factorization of 12417

Prime factors of 12417 are 3, 4139. Prime factorization of 12417 in exponential form is:

12417 = 3¹ × 4139¹

Step-3: Factors of 12405

List of positive integer factors of 12405 that divides 12405 without a remainder.

1, 3, 5, 15, 827, 2481, 4135

Step-4: Factors of 12417

List of positive integer factors of 12417 that divides 12405 without a remainder.

1, 3, 4139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12405 and 12417. The biggest common factor number is the GCF number.
So the greatest common factor 12405 and 12417 is 3.

Also check out the Least Common Multiple of 12405 and 12417