What is the Greatest Common Factor of 2392 and 2405?

Greatest common factor (GCF) of 2392 and 2405 is 13.

GCF(2392,2405) = 13

We will now calculate the prime factors of 2392 and 2405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2392 and 2405.

How to find the GCF of 2392 and 2405?

We will first find the prime factorization of 2392 and 2405. After we will calculate the factors of 2392 and 2405 and find the biggest common factor number .

Step-1: Prime Factorization of 2392

Prime factors of 2392 are 2, 13, 23. Prime factorization of 2392 in exponential form is:

2392 = 2³ × 13¹ × 23¹

Step-2: 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-3: Factors of 2392

List of positive integer factors of 2392 that divides 2392 without a remainder.

1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 184, 299, 598, 1196

Step-4: Factors of 2405

List of positive integer factors of 2405 that divides 2392 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2392 and 2405. The biggest common factor number is the GCF number.
So the greatest common factor 2392 and 2405 is 13.

Also check out the Least Common Multiple of 2392 and 2405