Greatest Common Factor of 6333 and 6339

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 6333, 6339 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6333 and 6339 is 3.

GCF(6333,6339) = 3

GCF of 6333 and 6339

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

GCF of:
and

Greatest Common Factor of 6333 and 6339

GCF of 6333 and 6339 is 3

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

Prime Factorization of 6339


3 6339
2113 2113
1

Prime factors of 6339 are 3,2113. Prime factorization of 6339 in exponential form is:

6339 = 31×21131

∴ So by taking common prime factors GCF of 6333 and 6339 is 3

Greatest Common Factor of 6333 and 6339 by matching factors method

Factors of 6333

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

1,3,2111,6333

Factors of 6339

List of positive integer factors of 6339 that divides 6339 without a remainder.

1,3,2113,6339

Greatest Common Factor

We found the factors and prime factorization of 6333 and 6339. The biggest common factor number is the GCF number.
So the greatest common factor 6333 and 6339 is 3.

Also check out the Least Common Multiple of 6333 and 6339

Properties of GCF 6333 and 6339

(i) The GCF of 6333 and 6339 is associative

GCF of 6333 and 6339 = GCF of 6339 and 6333

Related Greatest Common Factor of 6333

Related Greatest Common Factor of 6339

Frequently Asked Questions on GCF of 6333 and 6339

1. What is the GCF of 6333 and 6339?

Answer: GCF of 6333 and 6339 is 3.

2. 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.

3. What are the Factors of 6339?

Answer: Factors of 6339 are 1, 3, 2113, 6339. There are 4 integers that are factors of 6339. The greatest factor of 6339 is 6339.

4. How to Find the GCF of 6333 and 6339?

Answer:

Greatest Common Factor of 6333 and 6339 = 3

Step 1: Find the prime factorization of 6333

6333 = 3 x 2111

Step 2: Find the prime factorization of 6339

6339 = 3 x 2113

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 6333 and 6339 is 3