What is the Greatest Common Factor of 2405 and 2418?

Greatest common factor (GCF) of 2405 and 2418 is 13.

GCF(2405,2418) = 13

We will now calculate the prime factors of 2405 and 2418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2405 and 2418.

How to find the GCF of 2405 and 2418?

We will first find the prime factorization of 2405 and 2418. After we will calculate the factors of 2405 and 2418 and find the biggest common factor number .

Step-1: Prime Factorization of 2405

Prime factors of 2405 are 5, 13, 37. Prime factorization of 2405 in exponential form is:

2405 = 5¹ × 13¹ × 37¹

Step-2: Prime Factorization of 2418

Prime factors of 2418 are 2, 3, 13, 31. Prime factorization of 2418 in exponential form is:

2418 = 2¹ × 3¹ × 13¹ × 31¹

Step-3: Factors of 2405

List of positive integer factors of 2405 that divides 2405 without a remainder.

1, 5, 13, 37, 65, 185, 481

Step-4: Factors of 2418

List of positive integer factors of 2418 that divides 2405 without a remainder.

1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2405 and 2418. The biggest common factor number is the GCF number.
So the greatest common factor 2405 and 2418 is 13.

Also check out the Least Common Multiple of 2405 and 2418