Greatest Common Factor of 6357 and 6363

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 6357, 6363 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6357 and 6363 is 3.

GCF(6357,6363) = 3

GCF of 6357 and 6363

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

GCF of:
and

Greatest Common Factor of 6357 and 6363

GCF of 6357 and 6363 is 3

Prime Factorization of 6357


3 6357
13 2119
163 163
1

Prime factors of 6357 are 3,13,163. Prime factorization of 6357 in exponential form is:

6357 = 31×131×1631

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

∴ So by taking common prime factors GCF of 6357 and 6363 is 3

Greatest Common Factor of 6357 and 6363 by matching factors method

Factors of 6357

List of positive integer factors of 6357 that divides 6357 without a remainder.

1,3,13,39,163,489,2119,6357

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

Greatest Common Factor

We found the factors and prime factorization of 6357 and 6363. The biggest common factor number is the GCF number.
So the greatest common factor 6357 and 6363 is 3.

Also check out the Least Common Multiple of 6357 and 6363

Properties of GCF 6357 and 6363

(i) The GCF of 6357 and 6363 is associative

GCF of 6357 and 6363 = GCF of 6363 and 6357

Related Greatest Common Factor of 6357

Related Greatest Common Factor of 6363

Frequently Asked Questions on GCF of 6357 and 6363

1. What is the GCF of 6357 and 6363?

Answer: GCF of 6357 and 6363 is 3.

2. What are the Factors of 6357?

Answer: Factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357. There are 8 integers that are factors of 6357. The greatest factor of 6357 is 6357.

3. 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.

4. How to Find the GCF of 6357 and 6363?

Answer:

Greatest Common Factor of 6357 and 6363 = 3

Step 1: Find the prime factorization of 6357

6357 = 3 x 13 x 163

Step 2: Find the prime factorization of 6363

6363 = 3 x 3 x 7 x 101

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 6357 and 6363 is 3