What is the Greatest Common Factor of 6375 and 6390?

Greatest common factor (GCF) of 6375 and 6390 is 15.

GCF(6375,6390) = 15

We will now calculate the prime factors of 6375 and 6390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6375 and 6390.

How to find the GCF of 6375 and 6390?

We will first find the prime factorization of 6375 and 6390. After we will calculate the factors of 6375 and 6390 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 6390

Prime factors of 6390 are 2, 3, 5, 71. Prime factorization of 6390 in exponential form is:

6390 = 2¹ × 3² × 5¹ × 71¹

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 6390

List of positive integer factors of 6390 that divides 6375 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6375 and 6390. The biggest common factor number is the GCF number.
So the greatest common factor 6375 and 6390 is 15.

Also check out the Least Common Multiple of 6375 and 6390