Greatest Common Factor of 15178 and 15180

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 15178, 15180 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15178 and 15180 is 2.

GCF(15178,15180) = 2

GCF of 15178 and 15180

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

GCF of:
and

Greatest Common Factor of 15178 and 15180

GCF of 15178 and 15180 is 2

Prime Factorization of 15178


2 15178
7589 7589
1

Prime factors of 15178 are 2,7589. Prime factorization of 15178 in exponential form is:

15178 = 21×75891

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

∴ So by taking common prime factors GCF of 15178 and 15180 is 2

Greatest Common Factor of 15178 and 15180 by matching factors method

Factors of 15178

List of positive integer factors of 15178 that divides 15178 without a remainder.

1,2,7589,15178

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

Greatest Common Factor

We found the factors and prime factorization of 15178 and 15180. The biggest common factor number is the GCF number.
So the greatest common factor 15178 and 15180 is 2.

Also check out the Least Common Multiple of 15178 and 15180

Properties of GCF 15178 and 15180

(i) The GCF of 15178 and 15180 is associative

GCF of 15178 and 15180 = GCF of 15180 and 15178

Related Greatest Common Factor of 15178

Related Greatest Common Factor of 15180

Frequently Asked Questions on GCF of 15178 and 15180

1. What is the GCF of 15178 and 15180?

Answer: GCF of 15178 and 15180 is 2.

2. What are the Factors of 15178?

Answer: Factors of 15178 are 1, 2, 7589, 15178. There are 4 integers that are factors of 15178. The greatest factor of 15178 is 15178.

3. 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.

4. How to Find the GCF of 15178 and 15180?

Answer:

Greatest Common Factor of 15178 and 15180 = 2

Step 1: Find the prime factorization of 15178

15178 = 2 x 7589

Step 2: Find the prime factorization of 15180

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 15178 and 15180 is 2