Greatest Common Factor of 6338 and 6340

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 6338, 6340 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6338 and 6340 is 2.

GCF(6338,6340) = 2

GCF of 6338 and 6340

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

GCF of:
and

Greatest Common Factor of 6338 and 6340

GCF of 6338 and 6340 is 2

Prime Factorization of 6338


2 6338
3169 3169
1

Prime factors of 6338 are 2,3169. Prime factorization of 6338 in exponential form is:

6338 = 21×31691

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

∴ So by taking common prime factors GCF of 6338 and 6340 is 2

Greatest Common Factor of 6338 and 6340 by matching factors method

Factors of 6338

List of positive integer factors of 6338 that divides 6338 without a remainder.

1,2,3169,6338

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

Greatest Common Factor

We found the factors and prime factorization of 6338 and 6340. The biggest common factor number is the GCF number.
So the greatest common factor 6338 and 6340 is 2.

Also check out the Least Common Multiple of 6338 and 6340

Properties of GCF 6338 and 6340

(i) The GCF of 6338 and 6340 is associative

GCF of 6338 and 6340 = GCF of 6340 and 6338

Related Greatest Common Factor of 6338

Related Greatest Common Factor of 6340

Frequently Asked Questions on GCF of 6338 and 6340

1. What is the GCF of 6338 and 6340?

Answer: GCF of 6338 and 6340 is 2.

2. What are the Factors of 6338?

Answer: Factors of 6338 are 1, 2, 3169, 6338. There are 4 integers that are factors of 6338. The greatest factor of 6338 is 6338.

3. 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.

4. How to Find the GCF of 6338 and 6340?

Answer:

Greatest Common Factor of 6338 and 6340 = 2

Step 1: Find the prime factorization of 6338

6338 = 2 x 3169

Step 2: Find the prime factorization of 6340

6340 = 2 x 2 x 5 x 317

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6338 and 6340 is 2