Greatest Common Factor of 6330 and 6336

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 6330, 6336 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6330 and 6336 is 6.

GCF(6330,6336) = 6

GCF of 6330 and 6336

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

GCF of:
and

Greatest Common Factor of 6330 and 6336

GCF of 6330 and 6336 is 6

Prime Factorization of 6330


2 6330
3 3165
5 1055
211 211
1

Prime factors of 6330 are 2,3,5,211. Prime factorization of 6330 in exponential form is:

6330 = 21×31×51×2111

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

∴ So by taking common prime factors GCF of 6330 and 6336 is 6

Greatest Common Factor of 6330 and 6336 by matching factors method

Factors of 6330

List of positive integer factors of 6330 that divides 6330 without a remainder.

1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330

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

Greatest Common Factor

We found the factors and prime factorization of 6330 and 6336. The biggest common factor number is the GCF number.
So the greatest common factor 6330 and 6336 is 6.

Also check out the Least Common Multiple of 6330 and 6336

Properties of GCF 6330 and 6336

(i) The GCF of 6330 and 6336 is associative

GCF of 6330 and 6336 = GCF of 6336 and 6330

Related Greatest Common Factor of 6330

Related Greatest Common Factor of 6336

Frequently Asked Questions on GCF of 6330 and 6336

1. What is the GCF of 6330 and 6336?

Answer: GCF of 6330 and 6336 is 6.

2. What are the Factors of 6330?

Answer: Factors of 6330 are 1, 2, 3, 5, 6, 10, 15, 30, 211, 422, 633, 1055, 1266, 2110, 3165, 6330. There are 16 integers that are factors of 6330. The greatest factor of 6330 is 6330.

3. 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.

4. How to Find the GCF of 6330 and 6336?

Answer:

Greatest Common Factor of 6330 and 6336 = 6

Step 1: Find the prime factorization of 6330

6330 = 2 x 3 x 5 x 211

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6330 and 6336 is 6