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 8510, 8517 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8510 and 8517 is 1.
GCF(8510,8517) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8510
2 | 8510 |
5 | 4255 |
23 | 851 |
37 | 37 |
1 |
Prime factors of 8510 are 2,5,23,37. Prime factorization of 8510 in exponential form is:
8510 = 21×51×231×371
Prime Factorization of 8517
3 | 8517 |
17 | 2839 |
167 | 167 |
1 |
Prime factors of 8517 are 3,17,167. Prime factorization of 8517 in exponential form is:
8517 = 31×171×1671
∴ So by taking common prime factors GCF of 8510 and 8517 is 1
Factors of 8510
List of positive integer factors of 8510 that divides 8510 without a remainder.
1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510
Factors of 8517
List of positive integer factors of 8517 that divides 8517 without a remainder.
1,3,17,51,167,501,2839,8517
Greatest Common Factor
We found the factors and prime factorization of 8510 and 8517. The biggest common factor number is the GCF number.
So the greatest common factor 8510 and 8517 is 1.
Also check out the Least Common Multiple of 8510 and 8517
(i) The GCF of 8510 and 8517 is associative
GCF of 8510 and 8517 = GCF of 8517 and 8510
1. What is the GCF of 8510 and 8517?
Answer: GCF of 8510 and 8517 is 1.
2. What are the Factors of 8510?
Answer: Factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510. There are 16 integers that are factors of 8510. The greatest factor of 8510 is 8510.
3. What are the Factors of 8517?
Answer: Factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517. There are 8 integers that are factors of 8517. The greatest factor of 8517 is 8517.
4. How to Find the GCF of 8510 and 8517?
Answer:
Greatest Common Factor of 8510 and 8517 = 1
Step 1: Find the prime factorization of 8510
8510 = 2 x 5 x 23 x 37
Step 2: Find the prime factorization of 8517
8517 = 3 x 17 x 167
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 8510 and 8517 is 1