What is the Greatest Common Factor of 2367 and 2385?

Greatest common factor (GCF) of 2367 and 2385 is 9.

GCF(2367,2385) = 9

We will now calculate the prime factors of 2367 and 2385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2367 and 2385.

How to find the GCF of 2367 and 2385?

We will first find the prime factorization of 2367 and 2385. After we will calculate the factors of 2367 and 2385 and find the biggest common factor number .

Step-1: Prime Factorization of 2367

Prime factors of 2367 are 3, 263. Prime factorization of 2367 in exponential form is:

2367 = 3² × 263¹

Step-2: Prime Factorization of 2385

Prime factors of 2385 are 3, 5, 53. Prime factorization of 2385 in exponential form is:

2385 = 3² × 5¹ × 53¹

Step-3: Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1, 3, 9, 263, 789

Step-4: Factors of 2385

List of positive integer factors of 2385 that divides 2367 without a remainder.

1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2367 and 2385. The biggest common factor number is the GCF number.
So the greatest common factor 2367 and 2385 is 9.

Also check out the Least Common Multiple of 2367 and 2385