Greatest Common Factor of 6340 and 6344

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 6340, 6344 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6340 and 6344 is 4.

GCF(6340,6344) = 4

GCF of 6340 and 6344

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

GCF of:
and

Greatest Common Factor of 6340 and 6344

GCF of 6340 and 6344 is 4

Prime Factorization of 6340


2 6340
2 3170
5 1585
317 317
1

Prime factors of 6340 are 2,5,317. Prime factorization of 6340 in exponential form is:

6340 = 22×51×3171

Prime Factorization of 6344


2 6344
2 3172
2 1586
13 793
61 61
1

Prime factors of 6344 are 2,13,61. Prime factorization of 6344 in exponential form is:

6344 = 23×131×611

∴ So by taking common prime factors GCF of 6340 and 6344 is 4

Greatest Common Factor of 6340 and 6344 by matching factors method

Factors of 6340

List of positive integer factors of 6340 that divides 6340 without a remainder.

1,2,4,5,10,20,317,634,1268,1585,3170,6340

Factors of 6344

List of positive integer factors of 6344 that divides 6344 without a remainder.

1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344

Greatest Common Factor

We found the factors and prime factorization of 6340 and 6344. The biggest common factor number is the GCF number.
So the greatest common factor 6340 and 6344 is 4.

Also check out the Least Common Multiple of 6340 and 6344

Properties of GCF 6340 and 6344

(i) The GCF of 6340 and 6344 is associative

GCF of 6340 and 6344 = GCF of 6344 and 6340

Related Greatest Common Factor of 6340

Related Greatest Common Factor of 6344

Frequently Asked Questions on GCF of 6340 and 6344

1. What is the GCF of 6340 and 6344?

Answer: GCF of 6340 and 6344 is 4.

2. What are the Factors of 6340?

Answer: Factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340. There are 12 integers that are factors of 6340. The greatest factor of 6340 is 6340.

3. What are the Factors of 6344?

Answer: Factors of 6344 are 1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344. There are 16 integers that are factors of 6344. The greatest factor of 6344 is 6344.

4. How to Find the GCF of 6340 and 6344?

Answer:

Greatest Common Factor of 6340 and 6344 = 4

Step 1: Find the prime factorization of 6340

6340 = 2 x 2 x 5 x 317

Step 2: Find the prime factorization of 6344

6344 = 2 x 2 x 2 x 13 x 61

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6340 and 6344 is 4