Greatest Common Factor of 6370 and 6375

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 6370, 6375 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6370 and 6375 is 5.

GCF(6370,6375) = 5

GCF of 6370 and 6375

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

GCF of:
and

Greatest Common Factor of 6370 and 6375

GCF of 6370 and 6375 is 5

Prime Factorization of 6370


2 6370
5 3185
7 637
7 91
13 13
1

Prime factors of 6370 are 2,5,7,13. Prime factorization of 6370 in exponential form is:

6370 = 21×51×72×131

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

∴ So by taking common prime factors GCF of 6370 and 6375 is 5

Greatest Common Factor of 6370 and 6375 by matching factors method

Factors of 6370

List of positive integer factors of 6370 that divides 6370 without a remainder.

1,2,5,7,10,13,14,26,35,49,65,70,91,98,130,182,245,455,490,637,910,1274,3185,6370

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

Greatest Common Factor

We found the factors and prime factorization of 6370 and 6375. The biggest common factor number is the GCF number.
So the greatest common factor 6370 and 6375 is 5.

Also check out the Least Common Multiple of 6370 and 6375

Properties of GCF 6370 and 6375

(i) The GCF of 6370 and 6375 is associative

GCF of 6370 and 6375 = GCF of 6375 and 6370

Related Greatest Common Factor of 6370

Related Greatest Common Factor of 6375

Frequently Asked Questions on GCF of 6370 and 6375

1. What is the GCF of 6370 and 6375?

Answer: GCF of 6370 and 6375 is 5.

2. What are the Factors of 6370?

Answer: Factors of 6370 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370. There are 24 integers that are factors of 6370. The greatest factor of 6370 is 6370.

3. 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.

4. How to Find the GCF of 6370 and 6375?

Answer:

Greatest Common Factor of 6370 and 6375 = 5

Step 1: Find the prime factorization of 6370

6370 = 2 x 5 x 7 x 7 x 13

Step 2: Find the prime factorization of 6375

6375 = 3 x 5 x 5 x 5 x 17

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 6370 and 6375 is 5