Greatest Common Factor of 3186 and 3189

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 3186, 3189 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3186 and 3189 is 3.

GCF(3186,3189) = 3

GCF of 3186 and 3189

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

GCF of:
and

Greatest Common Factor of 3186 and 3189

GCF of 3186 and 3189 is 3

Prime Factorization of 3186


2 3186
3 1593
3 531
3 177
59 59
1

Prime factors of 3186 are 2,3,59. Prime factorization of 3186 in exponential form is:

3186 = 21×33×591

Prime Factorization of 3189


3 3189
1063 1063
1

Prime factors of 3189 are 3,1063. Prime factorization of 3189 in exponential form is:

3189 = 31×10631

∴ So by taking common prime factors GCF of 3186 and 3189 is 3

Greatest Common Factor of 3186 and 3189 by matching factors method

Factors of 3186

List of positive integer factors of 3186 that divides 3186 without a remainder.

1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186

Factors of 3189

List of positive integer factors of 3189 that divides 3189 without a remainder.

1,3,1063,3189

Greatest Common Factor

We found the factors and prime factorization of 3186 and 3189. The biggest common factor number is the GCF number.
So the greatest common factor 3186 and 3189 is 3.

Also check out the Least Common Multiple of 3186 and 3189

Properties of GCF 3186 and 3189

(i) The GCF of 3186 and 3189 is associative

GCF of 3186 and 3189 = GCF of 3189 and 3186

Related Greatest Common Factor of 3186

Related Greatest Common Factor of 3189

Frequently Asked Questions on GCF of 3186 and 3189

1. What is the GCF of 3186 and 3189?

Answer: GCF of 3186 and 3189 is 3.

2. What are the Factors of 3186?

Answer: Factors of 3186 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186. There are 16 integers that are factors of 3186. The greatest factor of 3186 is 3186.

3. What are the Factors of 3189?

Answer: Factors of 3189 are 1, 3, 1063, 3189. There are 4 integers that are factors of 3189. The greatest factor of 3189 is 3189.

4. How to Find the GCF of 3186 and 3189?

Answer:

Greatest Common Factor of 3186 and 3189 = 3

Step 1: Find the prime factorization of 3186

3186 = 2 x 3 x 3 x 3 x 59

Step 2: Find the prime factorization of 3189

3189 = 3 x 1063

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 3186 and 3189 is 3