Greatest Common Factor of 6330 and 6333

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, 6333 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6330 and 6333 is 3.

GCF(6330,6333) = 3

GCF of 6330 and 6333

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

GCF of:
and

Greatest Common Factor of 6330 and 6333

GCF of 6330 and 6333 is 3

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 6333


3 6333
2111 2111
1

Prime factors of 6333 are 3,2111. Prime factorization of 6333 in exponential form is:

6333 = 31×21111

∴ So by taking common prime factors GCF of 6330 and 6333 is 3

Greatest Common Factor of 6330 and 6333 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 6333

List of positive integer factors of 6333 that divides 6333 without a remainder.

1,3,2111,6333

Greatest Common Factor

We found the factors and prime factorization of 6330 and 6333. The biggest common factor number is the GCF number.
So the greatest common factor 6330 and 6333 is 3.

Also check out the Least Common Multiple of 6330 and 6333

Properties of GCF 6330 and 6333

(i) The GCF of 6330 and 6333 is associative

GCF of 6330 and 6333 = GCF of 6333 and 6330

Related Greatest Common Factor of 6330

Related Greatest Common Factor of 6333

Frequently Asked Questions on GCF of 6330 and 6333

1. What is the GCF of 6330 and 6333?

Answer: GCF of 6330 and 6333 is 3.

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 6333?

Answer: Factors of 6333 are 1, 3, 2111, 6333. There are 4 integers that are factors of 6333. The greatest factor of 6333 is 6333.

4. How to Find the GCF of 6330 and 6333?

Answer:

Greatest Common Factor of 6330 and 6333 = 3

Step 1: Find the prime factorization of 6330

6330 = 2 x 3 x 5 x 211

Step 2: Find the prime factorization of 6333

6333 = 3 x 2111

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6330 and 6333 is 3