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 15204, 15210 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15204 and 15210 is 6.
GCF(15204,15210) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15204
2 | 15204 |
2 | 7602 |
3 | 3801 |
7 | 1267 |
181 | 181 |
1 |
Prime factors of 15204 are 2,3,7,181. Prime factorization of 15204 in exponential form is:
15204 = 22×31×71×1811
Prime Factorization of 15210
2 | 15210 |
3 | 7605 |
3 | 2535 |
5 | 845 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 15210 are 2,3,5,13. Prime factorization of 15210 in exponential form is:
15210 = 21×32×51×132
∴ So by taking common prime factors GCF of 15204 and 15210 is 6
Factors of 15204
List of positive integer factors of 15204 that divides 15204 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,181,362,543,724,1086,1267,2172,2534,3801,5068,7602,15204
Factors of 15210
List of positive integer factors of 15210 that divides 15210 without a remainder.
1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,169,195,234,338,390,507,585,845,1014,1170,1521,1690,2535,3042,5070,7605,15210
Greatest Common Factor
We found the factors and prime factorization of 15204 and 15210. The biggest common factor number is the GCF number.
So the greatest common factor 15204 and 15210 is 6.
Also check out the Least Common Multiple of 15204 and 15210
(i) The GCF of 15204 and 15210 is associative
GCF of 15204 and 15210 = GCF of 15210 and 15204
1. What is the GCF of 15204 and 15210?
Answer: GCF of 15204 and 15210 is 6.
2. What are the Factors of 15204?
Answer: Factors of 15204 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 181, 362, 543, 724, 1086, 1267, 2172, 2534, 3801, 5068, 7602, 15204. There are 24 integers that are factors of 15204. The greatest factor of 15204 is 15204.
3. What are the Factors of 15210?
Answer: Factors of 15210 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 169, 195, 234, 338, 390, 507, 585, 845, 1014, 1170, 1521, 1690, 2535, 3042, 5070, 7605, 15210. There are 36 integers that are factors of 15210. The greatest factor of 15210 is 15210.
4. How to Find the GCF of 15204 and 15210?
Answer:
Greatest Common Factor of 15204 and 15210 = 6
Step 1: Find the prime factorization of 15204
15204 = 2 x 2 x 3 x 7 x 181
Step 2: Find the prime factorization of 15210
15210 = 2 x 3 x 3 x 5 x 13 x 13
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 15204 and 15210 is 6