Greatest Common Factor of 15172 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 15172, 15180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15172 and 15180 is 4.

GCF(15172,15180) = 4

GCF of 15172 and 15180

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

GCF of:
and

Greatest Common Factor of 15172 and 15180

GCF of 15172 and 15180 is 4

Prime Factorization of 15172


2 15172
2 7586
3793 3793
1

Prime factors of 15172 are 2,3793. Prime factorization of 15172 in exponential form is:

15172 = 22×37931

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 15172 and 15180 is 4

Greatest Common Factor of 15172 and 15180 by matching factors method

Factors of 15172

List of positive integer factors of 15172 that divides 15172 without a remainder.

1,2,4,3793,7586,15172

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 15172 and 15180. The biggest common factor number is the GCF number.
So the greatest common factor 15172 and 15180 is 4.

Also check out the Least Common Multiple of 15172 and 15180

Properties of GCF 15172 and 15180

(i) The GCF of 15172 and 15180 is associative

GCF of 15172 and 15180 = GCF of 15180 and 15172

Related Greatest Common Factor of 15172

Related Greatest Common Factor of 15180

Frequently Asked Questions on GCF of 15172 and 15180

1. What is the GCF of 15172 and 15180?

Answer: GCF of 15172 and 15180 is 4.

2. What are the Factors of 15172?

Answer: Factors of 15172 are 1, 2, 4, 3793, 7586, 15172. There are 6 integers that are factors of 15172. The greatest factor of 15172 is 15172.

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 15172 and 15180?

Answer:

Greatest Common Factor of 15172 and 15180 = 4

Step 1: Find the prime factorization of 15172

15172 = 2 x 2 x 3793

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 15172 and 15180 is 4