What is the Greatest Common Factor of 12367 and 12385?

Greatest common factor (GCF) of 12367 and 12385 is 1.

GCF(12367,12385) = 1

We will now calculate the prime factors of 12367 and 12385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12367 and 12385.

How to find the GCF of 12367 and 12385?

We will first find the prime factorization of 12367 and 12385. After we will calculate the factors of 12367 and 12385 and find the biggest common factor number .

Step-1: Prime Factorization of 12367

Prime factors of 12367 are 83, 149. Prime factorization of 12367 in exponential form is:

12367 = 83¹ × 149¹

Step-2: Prime Factorization of 12385

Prime factors of 12385 are 5, 2477. Prime factorization of 12385 in exponential form is:

12385 = 5¹ × 2477¹

Step-3: Factors of 12367

List of positive integer factors of 12367 that divides 12367 without a remainder.

1, 83, 149

Step-4: Factors of 12385

List of positive integer factors of 12385 that divides 12367 without a remainder.

1, 5, 2477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12367 and 12385. The biggest common factor number is the GCF number.
So the greatest common factor 12367 and 12385 is 1.

Also check out the Least Common Multiple of 12367 and 12385