Greatest Common Factor of 6342 and 6349

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 6342, 6349 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6342 and 6349 is 7.

GCF(6342,6349) = 7

GCF of 6342 and 6349

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

GCF of:
and

Greatest Common Factor of 6342 and 6349

GCF of 6342 and 6349 is 7

Prime Factorization of 6342


2 6342
3 3171
7 1057
151 151
1

Prime factors of 6342 are 2,3,7,151. Prime factorization of 6342 in exponential form is:

6342 = 21×31×71×1511

Prime Factorization of 6349


7 6349
907 907
1

Prime factors of 6349 are 7,907. Prime factorization of 6349 in exponential form is:

6349 = 71×9071

∴ So by taking common prime factors GCF of 6342 and 6349 is 7

Greatest Common Factor of 6342 and 6349 by matching factors method

Factors of 6342

List of positive integer factors of 6342 that divides 6342 without a remainder.

1,2,3,6,7,14,21,42,151,302,453,906,1057,2114,3171,6342

Factors of 6349

List of positive integer factors of 6349 that divides 6349 without a remainder.

1,7,907,6349

Greatest Common Factor

We found the factors and prime factorization of 6342 and 6349. The biggest common factor number is the GCF number.
So the greatest common factor 6342 and 6349 is 7.

Also check out the Least Common Multiple of 6342 and 6349

Properties of GCF 6342 and 6349

(i) The GCF of 6342 and 6349 is associative

GCF of 6342 and 6349 = GCF of 6349 and 6342

Related Greatest Common Factor of 6342

Related Greatest Common Factor of 6349

Frequently Asked Questions on GCF of 6342 and 6349

1. What is the GCF of 6342 and 6349?

Answer: GCF of 6342 and 6349 is 7.

2. What are the Factors of 6342?

Answer: Factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342. There are 16 integers that are factors of 6342. The greatest factor of 6342 is 6342.

3. What are the Factors of 6349?

Answer: Factors of 6349 are 1, 7, 907, 6349. There are 4 integers that are factors of 6349. The greatest factor of 6349 is 6349.

4. How to Find the GCF of 6342 and 6349?

Answer:

Greatest Common Factor of 6342 and 6349 = 7

Step 1: Find the prime factorization of 6342

6342 = 2 x 3 x 7 x 151

Step 2: Find the prime factorization of 6349

6349 = 7 x 907

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6342 and 6349 is 7