Greatest Common Factor of 15180 and 15186

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 15180, 15186 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15180 and 15186 is 6.

GCF(15180,15186) = 6

GCF of 15180 and 15186

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

GCF of:
and

Greatest Common Factor of 15180 and 15186

GCF of 15180 and 15186 is 6

Prime Factorization of 15180


2 15180
2 7590
3 3795
5 1265
11 253
23 23
1

Prime factors of 15180 are 2,3,5,11,23. Prime factorization of 15180 in exponential form is:

15180 = 22×31×51×111×231

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

∴ So by taking common prime factors GCF of 15180 and 15186 is 6

Greatest Common Factor of 15180 and 15186 by matching factors method

Factors of 15180

List of positive integer factors of 15180 that divides 15180 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,23,30,33,44,46,55,60,66,69,92,110,115,132,138,165,220,230,253,276,330,345,460,506,660,690,759,1012,1265,1380,1518,2530,3036,3795,5060,7590,15180

Factors of 15186

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

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

Greatest Common Factor

We found the factors and prime factorization of 15180 and 15186. The biggest common factor number is the GCF number.
So the greatest common factor 15180 and 15186 is 6.

Also check out the Least Common Multiple of 15180 and 15186

Properties of GCF 15180 and 15186

(i) The GCF of 15180 and 15186 is associative

GCF of 15180 and 15186 = GCF of 15186 and 15180

Related Greatest Common Factor of 15180

Related Greatest Common Factor of 15186

Frequently Asked Questions on GCF of 15180 and 15186

1. What is the GCF of 15180 and 15186?

Answer: GCF of 15180 and 15186 is 6.

2. What are the Factors of 15180?

Answer: Factors of 15180 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 23, 30, 33, 44, 46, 55, 60, 66, 69, 92, 110, 115, 132, 138, 165, 220, 230, 253, 276, 330, 345, 460, 506, 660, 690, 759, 1012, 1265, 1380, 1518, 2530, 3036, 3795, 5060, 7590, 15180. There are 48 integers that are factors of 15180. The greatest factor of 15180 is 15180.

3. 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.

4. How to Find the GCF of 15180 and 15186?

Answer:

Greatest Common Factor of 15180 and 15186 = 6

Step 1: Find the prime factorization of 15180

15180 = 2 x 2 x 3 x 5 x 11 x 23

Step 2: Find the prime factorization of 15186

15186 = 2 x 3 x 2531

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 15180 and 15186 is 6