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 15216, 15219 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15216 and 15219 is 3.
GCF(15216,15219) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15216
2 | 15216 |
2 | 7608 |
2 | 3804 |
2 | 1902 |
3 | 951 |
317 | 317 |
1 |
Prime factors of 15216 are 2,3,317. Prime factorization of 15216 in exponential form is:
15216 = 24×31×3171
Prime Factorization of 15219
3 | 15219 |
3 | 5073 |
19 | 1691 |
89 | 89 |
1 |
Prime factors of 15219 are 3,19,89. Prime factorization of 15219 in exponential form is:
15219 = 32×191×891
∴ So by taking common prime factors GCF of 15216 and 15219 is 3
Factors of 15216
List of positive integer factors of 15216 that divides 15216 without a remainder.
1,2,3,4,6,8,12,16,24,48,317,634,951,1268,1902,2536,3804,5072,7608,15216
Factors of 15219
List of positive integer factors of 15219 that divides 15219 without a remainder.
1,3,9,19,57,89,171,267,801,1691,5073,15219
Greatest Common Factor
We found the factors and prime factorization of 15216 and 15219. The biggest common factor number is the GCF number.
So the greatest common factor 15216 and 15219 is 3.
Also check out the Least Common Multiple of 15216 and 15219
(i) The GCF of 15216 and 15219 is associative
GCF of 15216 and 15219 = GCF of 15219 and 15216
1. What is the GCF of 15216 and 15219?
Answer: GCF of 15216 and 15219 is 3.
2. What are the Factors of 15216?
Answer: Factors of 15216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 15216. There are 20 integers that are factors of 15216. The greatest factor of 15216 is 15216.
3. What are the Factors of 15219?
Answer: Factors of 15219 are 1, 3, 9, 19, 57, 89, 171, 267, 801, 1691, 5073, 15219. There are 12 integers that are factors of 15219. The greatest factor of 15219 is 15219.
4. How to Find the GCF of 15216 and 15219?
Answer:
Greatest Common Factor of 15216 and 15219 = 3
Step 1: Find the prime factorization of 15216
15216 = 2 x 2 x 2 x 2 x 3 x 317
Step 2: Find the prime factorization of 15219
15219 = 3 x 3 x 19 x 89
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 15216 and 15219 is 3