Greatest Common Factor of 6363 and 6369

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 6363, 6369 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6363 and 6369 is 3.

GCF(6363,6369) = 3

GCF of 6363 and 6369

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

GCF of:
and

Greatest Common Factor of 6363 and 6369

GCF of 6363 and 6369 is 3

Prime Factorization of 6363


3 6363
3 2121
7 707
101 101
1

Prime factors of 6363 are 3,7,101. Prime factorization of 6363 in exponential form is:

6363 = 32×71×1011

Prime Factorization of 6369


3 6369
11 2123
193 193
1

Prime factors of 6369 are 3,11,193. Prime factorization of 6369 in exponential form is:

6369 = 31×111×1931

∴ So by taking common prime factors GCF of 6363 and 6369 is 3

Greatest Common Factor of 6363 and 6369 by matching factors method

Factors of 6363

List of positive integer factors of 6363 that divides 6363 without a remainder.

1,3,7,9,21,63,101,303,707,909,2121,6363

Factors of 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1,3,11,33,193,579,2123,6369

Greatest Common Factor

We found the factors and prime factorization of 6363 and 6369. The biggest common factor number is the GCF number.
So the greatest common factor 6363 and 6369 is 3.

Also check out the Least Common Multiple of 6363 and 6369

Properties of GCF 6363 and 6369

(i) The GCF of 6363 and 6369 is associative

GCF of 6363 and 6369 = GCF of 6369 and 6363

Related Greatest Common Factor of 6363

Related Greatest Common Factor of 6369

Frequently Asked Questions on GCF of 6363 and 6369

1. What is the GCF of 6363 and 6369?

Answer: GCF of 6363 and 6369 is 3.

2. What are the Factors of 6363?

Answer: Factors of 6363 are 1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363. There are 12 integers that are factors of 6363. The greatest factor of 6363 is 6363.

3. What are the Factors of 6369?

Answer: Factors of 6369 are 1, 3, 11, 33, 193, 579, 2123, 6369. There are 8 integers that are factors of 6369. The greatest factor of 6369 is 6369.

4. How to Find the GCF of 6363 and 6369?

Answer:

Greatest Common Factor of 6363 and 6369 = 3

Step 1: Find the prime factorization of 6363

6363 = 3 x 3 x 7 x 101

Step 2: Find the prime factorization of 6369

6369 = 3 x 11 x 193

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 6363 and 6369 is 3