Greatest Common Factor of 6354 and 6357

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 6354, 6357 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6354 and 6357 is 3.

GCF(6354,6357) = 3

GCF of 6354 and 6357

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

GCF of:
and

Greatest Common Factor of 6354 and 6357

GCF of 6354 and 6357 is 3

Prime Factorization of 6354


2 6354
3 3177
3 1059
353 353
1

Prime factors of 6354 are 2,3,353. Prime factorization of 6354 in exponential form is:

6354 = 21×32×3531

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

∴ So by taking common prime factors GCF of 6354 and 6357 is 3

Greatest Common Factor of 6354 and 6357 by matching factors method

Factors of 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1,2,3,6,9,18,353,706,1059,2118,3177,6354

Factors of 6357

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

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

Greatest Common Factor

We found the factors and prime factorization of 6354 and 6357. The biggest common factor number is the GCF number.
So the greatest common factor 6354 and 6357 is 3.

Also check out the Least Common Multiple of 6354 and 6357

Properties of GCF 6354 and 6357

(i) The GCF of 6354 and 6357 is associative

GCF of 6354 and 6357 = GCF of 6357 and 6354

Related Greatest Common Factor of 6354

Related Greatest Common Factor of 6357

Frequently Asked Questions on GCF of 6354 and 6357

1. What is the GCF of 6354 and 6357?

Answer: GCF of 6354 and 6357 is 3.

2. What are the Factors of 6354?

Answer: Factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354. There are 12 integers that are factors of 6354. The greatest factor of 6354 is 6354.

3. 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.

4. How to Find the GCF of 6354 and 6357?

Answer:

Greatest Common Factor of 6354 and 6357 = 3

Step 1: Find the prime factorization of 6354

6354 = 2 x 3 x 3 x 353

Step 2: Find the prime factorization of 6357

6357 = 3 x 13 x 163

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 6354 and 6357 is 3