What is the Greatest Common Factor of 6375 and 6395?

Greatest common factor (GCF) of 6375 and 6395 is 5.

GCF(6375,6395) = 5

We will now calculate the prime factors of 6375 and 6395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6375 and 6395.

How to find the GCF of 6375 and 6395?

We will first find the prime factorization of 6375 and 6395. After we will calculate the factors of 6375 and 6395 and find the biggest common factor number .

Step-1: Prime Factorization of 6375

Prime factors of 6375 are 3, 5, 17. Prime factorization of 6375 in exponential form is:

6375 = 3¹ × 5³ × 17¹

Step-2: Prime Factorization of 6395

Prime factors of 6395 are 5, 1279. Prime factorization of 6395 in exponential form is:

6395 = 5¹ × 1279¹

Step-3: Factors of 6375

List of positive integer factors of 6375 that divides 6375 without a remainder.

1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125

Step-4: Factors of 6395

List of positive integer factors of 6395 that divides 6375 without a remainder.

1, 5, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6375 and 6395. The biggest common factor number is the GCF number.
So the greatest common factor 6375 and 6395 is 5.

Also check out the Least Common Multiple of 6375 and 6395