Greatest Common Factor of 6327 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 6327, 6333 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6327 and 6333 is 3.

GCF(6327,6333) = 3

GCF of 6327 and 6333

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

GCF of:
and

Greatest Common Factor of 6327 and 6333

GCF of 6327 and 6333 is 3

Prime Factorization of 6327


3 6327
3 2109
19 703
37 37
1

Prime factors of 6327 are 3,19,37. Prime factorization of 6327 in exponential form is:

6327 = 32×191×371

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 6327 and 6333 is 3

Greatest Common Factor of 6327 and 6333 by matching factors method

Factors of 6327

List of positive integer factors of 6327 that divides 6327 without a remainder.

1,3,9,19,37,57,111,171,333,703,2109,6327

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 6327 and 6333. The biggest common factor number is the GCF number.
So the greatest common factor 6327 and 6333 is 3.

Also check out the Least Common Multiple of 6327 and 6333

Properties of GCF 6327 and 6333

(i) The GCF of 6327 and 6333 is associative

GCF of 6327 and 6333 = GCF of 6333 and 6327

Related Greatest Common Factor of 6327

Related Greatest Common Factor of 6333

Frequently Asked Questions on GCF of 6327 and 6333

1. What is the GCF of 6327 and 6333?

Answer: GCF of 6327 and 6333 is 3.

2. What are the Factors of 6327?

Answer: Factors of 6327 are 1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327. There are 12 integers that are factors of 6327. The greatest factor of 6327 is 6327.

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 6327 and 6333?

Answer:

Greatest Common Factor of 6327 and 6333 = 3

Step 1: Find the prime factorization of 6327

6327 = 3 x 3 x 19 x 37

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 6327 and 6333 is 3