Greatest Common Factor of 6375 and 6380

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, 6380 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6375 and 6380 is 5.

GCF(6375,6380) = 5

GCF of 6375 and 6380

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

GCF of:
and

Greatest Common Factor of 6375 and 6380

GCF of 6375 and 6380 is 5

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 6380


2 6380
2 3190
5 1595
11 319
29 29
1

Prime factors of 6380 are 2,5,11,29. Prime factorization of 6380 in exponential form is:

6380 = 22×51×111×291

∴ So by taking common prime factors GCF of 6375 and 6380 is 5

Greatest Common Factor of 6375 and 6380 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 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

Greatest Common Factor

We found the factors and prime factorization of 6375 and 6380. The biggest common factor number is the GCF number.
So the greatest common factor 6375 and 6380 is 5.

Also check out the Least Common Multiple of 6375 and 6380

Properties of GCF 6375 and 6380

(i) The GCF of 6375 and 6380 is associative

GCF of 6375 and 6380 = GCF of 6380 and 6375

Related Greatest Common Factor of 6375

Related Greatest Common Factor of 6380

Frequently Asked Questions on GCF of 6375 and 6380

1. What is the GCF of 6375 and 6380?

Answer: GCF of 6375 and 6380 is 5.

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 6380?

Answer: Factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380. There are 24 integers that are factors of 6380. The greatest factor of 6380 is 6380.

4. How to Find the GCF of 6375 and 6380?

Answer:

Greatest Common Factor of 6375 and 6380 = 5

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 6380

6380 = 2 x 2 x 5 x 11 x 29

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6375 and 6380 is 5