Greatest Common Factor of 6303 and 6309

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 6303, 6309 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6303 and 6309 is 3.

GCF(6303,6309) = 3

GCF of 6303 and 6309

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

GCF of:
and

Greatest Common Factor of 6303 and 6309

GCF of 6303 and 6309 is 3

Prime Factorization of 6303


3 6303
11 2101
191 191
1

Prime factors of 6303 are 3,11,191. Prime factorization of 6303 in exponential form is:

6303 = 31×111×1911

Prime Factorization of 6309


3 6309
3 2103
701 701
1

Prime factors of 6309 are 3,701. Prime factorization of 6309 in exponential form is:

6309 = 32×7011

∴ So by taking common prime factors GCF of 6303 and 6309 is 3

Greatest Common Factor of 6303 and 6309 by matching factors method

Factors of 6303

List of positive integer factors of 6303 that divides 6303 without a remainder.

1,3,11,33,191,573,2101,6303

Factors of 6309

List of positive integer factors of 6309 that divides 6309 without a remainder.

1,3,9,701,2103,6309

Greatest Common Factor

We found the factors and prime factorization of 6303 and 6309. The biggest common factor number is the GCF number.
So the greatest common factor 6303 and 6309 is 3.

Also check out the Least Common Multiple of 6303 and 6309

Properties of GCF 6303 and 6309

(i) The GCF of 6303 and 6309 is associative

GCF of 6303 and 6309 = GCF of 6309 and 6303

Related Greatest Common Factor of 6303

Related Greatest Common Factor of 6309

Frequently Asked Questions on GCF of 6303 and 6309

1. What is the GCF of 6303 and 6309?

Answer: GCF of 6303 and 6309 is 3.

2. What are the Factors of 6303?

Answer: Factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303. There are 8 integers that are factors of 6303. The greatest factor of 6303 is 6303.

3. What are the Factors of 6309?

Answer: Factors of 6309 are 1, 3, 9, 701, 2103, 6309. There are 6 integers that are factors of 6309. The greatest factor of 6309 is 6309.

4. How to Find the GCF of 6303 and 6309?

Answer:

Greatest Common Factor of 6303 and 6309 = 3

Step 1: Find the prime factorization of 6303

6303 = 3 x 11 x 191

Step 2: Find the prime factorization of 6309

6309 = 3 x 3 x 701

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 6303 and 6309 is 3