Greatest Common Factor of 6189 and 6195

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 6189, 6195 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6189 and 6195 is 3.

GCF(6189,6195) = 3

GCF of 6189 and 6195

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

GCF of:
and

Greatest Common Factor of 6189 and 6195

GCF of 6189 and 6195 is 3

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

Prime Factorization of 6195


3 6195
5 2065
7 413
59 59
1

Prime factors of 6195 are 3,5,7,59. Prime factorization of 6195 in exponential form is:

6195 = 31×51×71×591

∴ So by taking common prime factors GCF of 6189 and 6195 is 3

Greatest Common Factor of 6189 and 6195 by matching factors method

Factors of 6189

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

1,3,2063,6189

Factors of 6195

List of positive integer factors of 6195 that divides 6195 without a remainder.

1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195

Greatest Common Factor

We found the factors and prime factorization of 6189 and 6195. The biggest common factor number is the GCF number.
So the greatest common factor 6189 and 6195 is 3.

Also check out the Least Common Multiple of 6189 and 6195

Properties of GCF 6189 and 6195

(i) The GCF of 6189 and 6195 is associative

GCF of 6189 and 6195 = GCF of 6195 and 6189

Related Greatest Common Factor of 6189

Related Greatest Common Factor of 6195

Frequently Asked Questions on GCF of 6189 and 6195

1. What is the GCF of 6189 and 6195?

Answer: GCF of 6189 and 6195 is 3.

2. 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.

3. What are the Factors of 6195?

Answer: Factors of 6195 are 1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065, 6195. There are 16 integers that are factors of 6195. The greatest factor of 6195 is 6195.

4. How to Find the GCF of 6189 and 6195?

Answer:

Greatest Common Factor of 6189 and 6195 = 3

Step 1: Find the prime factorization of 6189

6189 = 3 x 2063

Step 2: Find the prime factorization of 6195

6195 = 3 x 5 x 7 x 59

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 6189 and 6195 is 3