Greatest Common Factor of 15180 and 15188

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, 15188 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15180 and 15188 is 4.

GCF(15180,15188) = 4

GCF of 15180 and 15188

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

GCF of:
and

Greatest Common Factor of 15180 and 15188

GCF of 15180 and 15188 is 4

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 15188


2 15188
2 7594
3797 3797
1

Prime factors of 15188 are 2,3797. Prime factorization of 15188 in exponential form is:

15188 = 22×37971

∴ So by taking common prime factors GCF of 15180 and 15188 is 4

Greatest Common Factor of 15180 and 15188 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 15188

List of positive integer factors of 15188 that divides 15188 without a remainder.

1,2,4,3797,7594,15188

Greatest Common Factor

We found the factors and prime factorization of 15180 and 15188. The biggest common factor number is the GCF number.
So the greatest common factor 15180 and 15188 is 4.

Also check out the Least Common Multiple of 15180 and 15188

Properties of GCF 15180 and 15188

(i) The GCF of 15180 and 15188 is associative

GCF of 15180 and 15188 = GCF of 15188 and 15180

Related Greatest Common Factor of 15180

Related Greatest Common Factor of 15188

Frequently Asked Questions on GCF of 15180 and 15188

1. What is the GCF of 15180 and 15188?

Answer: GCF of 15180 and 15188 is 4.

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 15188?

Answer: Factors of 15188 are 1, 2, 4, 3797, 7594, 15188. There are 6 integers that are factors of 15188. The greatest factor of 15188 is 15188.

4. How to Find the GCF of 15180 and 15188?

Answer:

Greatest Common Factor of 15180 and 15188 = 4

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 15188

15188 = 2 x 2 x 3797

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 15180 and 15188 is 4