Greatest Common Factor of 6375 and 6381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6375, 6381 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6375 and 6381 is 3.

GCF(6375,6381) = 3

GCF of 6375 and 6381

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6375 and 6381

GCF of 6375 and 6381 is 3

Prime Factorization of 6375


3 6375
5 2125
5 425
5 85
17 17
1

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

6375 = 31×53×171

Prime Factorization of 6381


3 6381
3 2127
709 709
1

Prime factors of 6381 are 3,709. Prime factorization of 6381 in exponential form is:

6381 = 32×7091

∴ So by taking common prime factors GCF of 6375 and 6381 is 3

Greatest Common Factor of 6375 and 6381 by matching factors method

Factors of 6375

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

1,3,5,15,17,25,51,75,85,125,255,375,425,1275,2125,6375

Factors of 6381

List of positive integer factors of 6381 that divides 6381 without a remainder.

1,3,9,709,2127,6381

Greatest Common Factor

We found the factors and prime factorization of 6375 and 6381. The biggest common factor number is the GCF number.
So the greatest common factor 6375 and 6381 is 3.

Also check out the Least Common Multiple of 6375 and 6381

Properties of GCF 6375 and 6381

(i) The GCF of 6375 and 6381 is associative

GCF of 6375 and 6381 = GCF of 6381 and 6375

Related Greatest Common Factor of 6375

Related Greatest Common Factor of 6381

Frequently Asked Questions on GCF of 6375 and 6381

1. What is the GCF of 6375 and 6381?

Answer: GCF of 6375 and 6381 is 3.

2. What are the Factors of 6375?

Answer: Factors of 6375 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375. There are 16 integers that are factors of 6375. The greatest factor of 6375 is 6375.

3. What are the Factors of 6381?

Answer: Factors of 6381 are 1, 3, 9, 709, 2127, 6381. There are 6 integers that are factors of 6381. The greatest factor of 6381 is 6381.

4. How to Find the GCF of 6375 and 6381?

Answer:

Greatest Common Factor of 6375 and 6381 = 3

Step 1: Find the prime factorization of 6375

6375 = 3 x 5 x 5 x 5 x 17

Step 2: Find the prime factorization of 6381

6381 = 3 x 3 x 709

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 6375 and 6381 is 3