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 15176, 15180 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15176 and 15180 is 4.
GCF(15176,15180) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15176
2 | 15176 |
2 | 7588 |
2 | 3794 |
7 | 1897 |
271 | 271 |
1 |
Prime factors of 15176 are 2,7,271. Prime factorization of 15176 in exponential form is:
15176 = 23×71×2711
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 15176 and 15180 is 4
Factors of 15176
List of positive integer factors of 15176 that divides 15176 without a remainder.
1,2,4,7,8,14,28,56,271,542,1084,1897,2168,3794,7588,15176
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 15176 and 15180. The biggest common factor number is the GCF number.
So the greatest common factor 15176 and 15180 is 4.
Also check out the Least Common Multiple of 15176 and 15180
(i) The GCF of 15176 and 15180 is associative
GCF of 15176 and 15180 = GCF of 15180 and 15176
1. What is the GCF of 15176 and 15180?
Answer: GCF of 15176 and 15180 is 4.
2. What are the Factors of 15176?
Answer: Factors of 15176 are 1, 2, 4, 7, 8, 14, 28, 56, 271, 542, 1084, 1897, 2168, 3794, 7588, 15176. There are 16 integers that are factors of 15176. The greatest factor of 15176 is 15176.
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 15176 and 15180?
Answer:
Greatest Common Factor of 15176 and 15180 = 4
Step 1: Find the prime factorization of 15176
15176 = 2 x 2 x 2 x 7 x 271
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 15176 and 15180 is 4