Greatest Common Factor of 6390 and 6395

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 6390, 6395 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6390 and 6395 is 5.

GCF(6390,6395) = 5

GCF of 6390 and 6395

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

GCF of:
and

Greatest Common Factor of 6390 and 6395

GCF of 6390 and 6395 is 5

Prime Factorization of 6390


2 6390
3 3195
3 1065
5 355
71 71
1

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

6390 = 21×32×51×711

Prime Factorization of 6395


5 6395
1279 1279
1

Prime factors of 6395 are 5,1279. Prime factorization of 6395 in exponential form is:

6395 = 51×12791

∴ So by taking common prime factors GCF of 6390 and 6395 is 5

Greatest Common Factor of 6390 and 6395 by matching factors method

Factors of 6390

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

1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390

Factors of 6395

List of positive integer factors of 6395 that divides 6395 without a remainder.

1,5,1279,6395

Greatest Common Factor

We found the factors and prime factorization of 6390 and 6395. The biggest common factor number is the GCF number.
So the greatest common factor 6390 and 6395 is 5.

Also check out the Least Common Multiple of 6390 and 6395

Properties of GCF 6390 and 6395

(i) The GCF of 6390 and 6395 is associative

GCF of 6390 and 6395 = GCF of 6395 and 6390

Related Greatest Common Factor of 6390

Related Greatest Common Factor of 6395

Frequently Asked Questions on GCF of 6390 and 6395

1. What is the GCF of 6390 and 6395?

Answer: GCF of 6390 and 6395 is 5.

2. What are the Factors of 6390?

Answer: Factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390. There are 24 integers that are factors of 6390. The greatest factor of 6390 is 6390.

3. What are the Factors of 6395?

Answer: Factors of 6395 are 1, 5, 1279, 6395. There are 4 integers that are factors of 6395. The greatest factor of 6395 is 6395.

4. How to Find the GCF of 6390 and 6395?

Answer:

Greatest Common Factor of 6390 and 6395 = 5

Step 1: Find the prime factorization of 6390

6390 = 2 x 3 x 3 x 5 x 71

Step 2: Find the prime factorization of 6395

6395 = 5 x 1279

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 6390 and 6395 is 5