What is the Greatest Common Factor of 6369 and 6375?

Greatest common factor (GCF) of 6369 and 6375 is 3.

GCF(6369,6375) = 3

We will now calculate the prime factors of 6369 and 6375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6369 and 6375.

How to find the GCF of 6369 and 6375?

We will first find the prime factorization of 6369 and 6375. After we will calculate the factors of 6369 and 6375 and find the biggest common factor number .

Step-1: Prime Factorization of 6369

Prime factors of 6369 are 3, 11, 193. Prime factorization of 6369 in exponential form is:

6369 = 3¹ × 11¹ × 193¹

Step-2: 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-3: Factors of 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1, 3, 11, 33, 193, 579, 2123

Step-4: Factors of 6375

List of positive integer factors of 6375 that divides 6369 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6369 and 6375. The biggest common factor number is the GCF number.
So the greatest common factor 6369 and 6375 is 3.

Also check out the Least Common Multiple of 6369 and 6375