Greatest Common Factor of 15186 and 15189

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 15186, 15189 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15186 and 15189 is 3.

GCF(15186,15189) = 3

GCF of 15186 and 15189

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

GCF of:
and

Greatest Common Factor of 15186 and 15189

GCF of 15186 and 15189 is 3

Prime Factorization of 15186


2 15186
3 7593
2531 2531
1

Prime factors of 15186 are 2,3,2531. Prime factorization of 15186 in exponential form is:

15186 = 21×31×25311

Prime Factorization of 15189


3 15189
61 5063
83 83
1

Prime factors of 15189 are 3,61,83. Prime factorization of 15189 in exponential form is:

15189 = 31×611×831

∴ So by taking common prime factors GCF of 15186 and 15189 is 3

Greatest Common Factor of 15186 and 15189 by matching factors method

Factors of 15186

List of positive integer factors of 15186 that divides 15186 without a remainder.

1,2,3,6,2531,5062,7593,15186

Factors of 15189

List of positive integer factors of 15189 that divides 15189 without a remainder.

1,3,61,83,183,249,5063,15189

Greatest Common Factor

We found the factors and prime factorization of 15186 and 15189. The biggest common factor number is the GCF number.
So the greatest common factor 15186 and 15189 is 3.

Also check out the Least Common Multiple of 15186 and 15189

Properties of GCF 15186 and 15189

(i) The GCF of 15186 and 15189 is associative

GCF of 15186 and 15189 = GCF of 15189 and 15186

Related Greatest Common Factor of 15186

Related Greatest Common Factor of 15189

Frequently Asked Questions on GCF of 15186 and 15189

1. What is the GCF of 15186 and 15189?

Answer: GCF of 15186 and 15189 is 3.

2. What are the Factors of 15186?

Answer: Factors of 15186 are 1, 2, 3, 6, 2531, 5062, 7593, 15186. There are 8 integers that are factors of 15186. The greatest factor of 15186 is 15186.

3. What are the Factors of 15189?

Answer: Factors of 15189 are 1, 3, 61, 83, 183, 249, 5063, 15189. There are 8 integers that are factors of 15189. The greatest factor of 15189 is 15189.

4. How to Find the GCF of 15186 and 15189?

Answer:

Greatest Common Factor of 15186 and 15189 = 3

Step 1: Find the prime factorization of 15186

15186 = 2 x 3 x 2531

Step 2: Find the prime factorization of 15189

15189 = 3 x 61 x 83

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 15186 and 15189 is 3