What is the Greatest Common Factor of 12375 and 12385?

Greatest common factor (GCF) of 12375 and 12385 is 5.

GCF(12375,12385) = 5

We will now calculate the prime factors of 12375 and 12385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12375 and 12385.

How to find the GCF of 12375 and 12385?

We will first find the prime factorization of 12375 and 12385. After we will calculate the factors of 12375 and 12385 and find the biggest common factor number .

Step-1: Prime Factorization of 12375

Prime factors of 12375 are 3, 5, 11. Prime factorization of 12375 in exponential form is:

12375 = 3² × 5³ × 11¹

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 12375

List of positive integer factors of 12375 that divides 12375 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 125, 165, 225, 275, 375, 495, 825, 1125, 1375, 2475, 4125

Step-4: Factors of 12385

List of positive integer factors of 12385 that divides 12375 without a remainder.

1, 5, 2477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12375 and 12385. The biggest common factor number is the GCF number.
So the greatest common factor 12375 and 12385 is 5.

Also check out the Least Common Multiple of 12375 and 12385