Greatest Common Factor of 6335 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 6335, 6340 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6335 and 6340 is 5.

GCF(6335,6340) = 5

GCF of 6335 and 6340

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

GCF of:
and

Greatest Common Factor of 6335 and 6340

GCF of 6335 and 6340 is 5

Prime Factorization of 6335


5 6335
7 1267
181 181
1

Prime factors of 6335 are 5,7,181. Prime factorization of 6335 in exponential form is:

6335 = 51×71×1811

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 6335 and 6340 is 5

Greatest Common Factor of 6335 and 6340 by matching factors method

Factors of 6335

List of positive integer factors of 6335 that divides 6335 without a remainder.

1,5,7,35,181,905,1267,6335

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 6335 and 6340. The biggest common factor number is the GCF number.
So the greatest common factor 6335 and 6340 is 5.

Also check out the Least Common Multiple of 6335 and 6340

Properties of GCF 6335 and 6340

(i) The GCF of 6335 and 6340 is associative

GCF of 6335 and 6340 = GCF of 6340 and 6335

Related Greatest Common Factor of 6335

Related Greatest Common Factor of 6340

Frequently Asked Questions on GCF of 6335 and 6340

1. What is the GCF of 6335 and 6340?

Answer: GCF of 6335 and 6340 is 5.

2. What are the Factors of 6335?

Answer: Factors of 6335 are 1, 5, 7, 35, 181, 905, 1267, 6335. There are 8 integers that are factors of 6335. The greatest factor of 6335 is 6335.

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 6335 and 6340?

Answer:

Greatest Common Factor of 6335 and 6340 = 5

Step 1: Find the prime factorization of 6335

6335 = 5 x 7 x 181

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 = 5

Step 4: Therefore, the greatest common factor of 6335 and 6340 is 5