What is the Greatest Common Factor of 6375 and 6385?

Greatest common factor (GCF) of 6375 and 6385 is 5.

GCF(6375,6385) = 5

We will now calculate the prime factors of 6375 and 6385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6375 and 6385.

How to find the GCF of 6375 and 6385?

We will first find the prime factorization of 6375 and 6385. After we will calculate the factors of 6375 and 6385 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 6385

Prime factors of 6385 are 5, 1277. Prime factorization of 6385 in exponential form is:

6385 = 5¹ × 1277¹

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 6385

List of positive integer factors of 6385 that divides 6375 without a remainder.

1, 5, 1277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6375 and 6385. The biggest common factor number is the GCF number.
So the greatest common factor 6375 and 6385 is 5.

Also check out the Least Common Multiple of 6375 and 6385