What is the Greatest Common Factor of 6375 and 6392?

Greatest common factor (GCF) of 6375 and 6392 is 17.

GCF(6375,6392) = 17

We will now calculate the prime factors of 6375 and 6392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6375 and 6392.

How to find the GCF of 6375 and 6392?

We will first find the prime factorization of 6375 and 6392. After we will calculate the factors of 6375 and 6392 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 6392

Prime factors of 6392 are 2, 17, 47. Prime factorization of 6392 in exponential form is:

6392 = 2³ × 17¹ × 47¹

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 6392

List of positive integer factors of 6392 that divides 6375 without a remainder.

1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6375 and 6392. The biggest common factor number is the GCF number.
So the greatest common factor 6375 and 6392 is 17.

Also check out the Least Common Multiple of 6375 and 6392