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 17208, 17215 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17208 and 17215 is 1.
GCF(17208,17215) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17208
2 | 17208 |
2 | 8604 |
2 | 4302 |
3 | 2151 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 17208 are 2,3,239. Prime factorization of 17208 in exponential form is:
17208 = 23×32×2391
Prime Factorization of 17215
5 | 17215 |
11 | 3443 |
313 | 313 |
1 |
Prime factors of 17215 are 5,11,313. Prime factorization of 17215 in exponential form is:
17215 = 51×111×3131
∴ So by taking common prime factors GCF of 17208 and 17215 is 1
Factors of 17208
List of positive integer factors of 17208 that divides 17208 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,239,478,717,956,1434,1912,2151,2868,4302,5736,8604,17208
Factors of 17215
List of positive integer factors of 17215 that divides 17215 without a remainder.
1,5,11,55,313,1565,3443,17215
Greatest Common Factor
We found the factors and prime factorization of 17208 and 17215. The biggest common factor number is the GCF number.
So the greatest common factor 17208 and 17215 is 1.
Also check out the Least Common Multiple of 17208 and 17215
(i) The GCF of 17208 and 17215 is associative
GCF of 17208 and 17215 = GCF of 17215 and 17208
1. What is the GCF of 17208 and 17215?
Answer: GCF of 17208 and 17215 is 1.
2. What are the Factors of 17208?
Answer: Factors of 17208 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 239, 478, 717, 956, 1434, 1912, 2151, 2868, 4302, 5736, 8604, 17208. There are 24 integers that are factors of 17208. The greatest factor of 17208 is 17208.
3. What are the Factors of 17215?
Answer: Factors of 17215 are 1, 5, 11, 55, 313, 1565, 3443, 17215. There are 8 integers that are factors of 17215. The greatest factor of 17215 is 17215.
4. How to Find the GCF of 17208 and 17215?
Answer:
Greatest Common Factor of 17208 and 17215 = 1
Step 1: Find the prime factorization of 17208
17208 = 2 x 2 x 2 x 3 x 3 x 239
Step 2: Find the prime factorization of 17215
17215 = 5 x 11 x 313
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 17208 and 17215 is 1