Greatest Common Factor of 6183 and 6189

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 6183, 6189 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6183 and 6189 is 3.

GCF(6183,6189) = 3

GCF of 6183 and 6189

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

GCF of:
and

Greatest Common Factor of 6183 and 6189

GCF of 6183 and 6189 is 3

Prime Factorization of 6183


3 6183
3 2061
3 687
229 229
1

Prime factors of 6183 are 3,229. Prime factorization of 6183 in exponential form is:

6183 = 33×2291

Prime Factorization of 6189


3 6189
2063 2063
1

Prime factors of 6189 are 3,2063. Prime factorization of 6189 in exponential form is:

6189 = 31×20631

∴ So by taking common prime factors GCF of 6183 and 6189 is 3

Greatest Common Factor of 6183 and 6189 by matching factors method

Factors of 6183

List of positive integer factors of 6183 that divides 6183 without a remainder.

1,3,9,27,229,687,2061,6183

Factors of 6189

List of positive integer factors of 6189 that divides 6189 without a remainder.

1,3,2063,6189

Greatest Common Factor

We found the factors and prime factorization of 6183 and 6189. The biggest common factor number is the GCF number.
So the greatest common factor 6183 and 6189 is 3.

Also check out the Least Common Multiple of 6183 and 6189

Properties of GCF 6183 and 6189

(i) The GCF of 6183 and 6189 is associative

GCF of 6183 and 6189 = GCF of 6189 and 6183

Related Greatest Common Factor of 6183

Related Greatest Common Factor of 6189

Frequently Asked Questions on GCF of 6183 and 6189

1. What is the GCF of 6183 and 6189?

Answer: GCF of 6183 and 6189 is 3.

2. What are the Factors of 6183?

Answer: Factors of 6183 are 1, 3, 9, 27, 229, 687, 2061, 6183. There are 8 integers that are factors of 6183. The greatest factor of 6183 is 6183.

3. What are the Factors of 6189?

Answer: Factors of 6189 are 1, 3, 2063, 6189. There are 4 integers that are factors of 6189. The greatest factor of 6189 is 6189.

4. How to Find the GCF of 6183 and 6189?

Answer:

Greatest Common Factor of 6183 and 6189 = 3

Step 1: Find the prime factorization of 6183

6183 = 3 x 3 x 3 x 229

Step 2: Find the prime factorization of 6189

6189 = 3 x 2063

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 6183 and 6189 is 3