Greatest Common Factor of 6338 and 6342

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, 6342 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6338 and 6342 is 2.

GCF(6338,6342) = 2

GCF of 6338 and 6342

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

GCF of:
and

Greatest Common Factor of 6338 and 6342

GCF of 6338 and 6342 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 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

∴ So by taking common prime factors GCF of 6338 and 6342 is 2

Greatest Common Factor of 6338 and 6342 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 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

Greatest Common Factor

We found the factors and prime factorization of 6338 and 6342. The biggest common factor number is the GCF number.
So the greatest common factor 6338 and 6342 is 2.

Also check out the Least Common Multiple of 6338 and 6342

Properties of GCF 6338 and 6342

(i) The GCF of 6338 and 6342 is associative

GCF of 6338 and 6342 = GCF of 6342 and 6338

Related Greatest Common Factor of 6338

Related Greatest Common Factor of 6342

Frequently Asked Questions on GCF of 6338 and 6342

1. What is the GCF of 6338 and 6342?

Answer: GCF of 6338 and 6342 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 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.

4. How to Find the GCF of 6338 and 6342?

Answer:

Greatest Common Factor of 6338 and 6342 = 2

Step 1: Find the prime factorization of 6338

6338 = 2 x 3169

Step 2: Find the prime factorization of 6342

6342 = 2 x 3 x 7 x 151

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 6342 is 2