Greatest Common Factor of 6336 and 6338

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 6336, 6338 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6336 and 6338 is 2.

GCF(6336,6338) = 2

GCF of 6336 and 6338

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

GCF of:
and

Greatest Common Factor of 6336 and 6338

GCF of 6336 and 6338 is 2

Prime Factorization of 6336


2 6336
2 3168
2 1584
2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 6336 are 2,3,11. Prime factorization of 6336 in exponential form is:

6336 = 26×32×111

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

∴ So by taking common prime factors GCF of 6336 and 6338 is 2

Greatest Common Factor of 6336 and 6338 by matching factors method

Factors of 6336

List of positive integer factors of 6336 that divides 6336 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336

Factors of 6338

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

1,2,3169,6338

Greatest Common Factor

We found the factors and prime factorization of 6336 and 6338. The biggest common factor number is the GCF number.
So the greatest common factor 6336 and 6338 is 2.

Also check out the Least Common Multiple of 6336 and 6338

Properties of GCF 6336 and 6338

(i) The GCF of 6336 and 6338 is associative

GCF of 6336 and 6338 = GCF of 6338 and 6336

Related Greatest Common Factor of 6336

Related Greatest Common Factor of 6338

Frequently Asked Questions on GCF of 6336 and 6338

1. What is the GCF of 6336 and 6338?

Answer: GCF of 6336 and 6338 is 2.

2. What are the Factors of 6336?

Answer: Factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336. There are 42 integers that are factors of 6336. The greatest factor of 6336 is 6336.

3. 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.

4. How to Find the GCF of 6336 and 6338?

Answer:

Greatest Common Factor of 6336 and 6338 = 2

Step 1: Find the prime factorization of 6336

6336 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11

Step 2: Find the prime factorization of 6338

6338 = 2 x 3169

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 6336 and 6338 is 2