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 8687, 8695 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8687 and 8695 is 1.
GCF(8687,8695) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8687
7 | 8687 |
17 | 1241 |
73 | 73 |
1 |
Prime factors of 8687 are 7,17,73. Prime factorization of 8687 in exponential form is:
8687 = 71×171×731
Prime Factorization of 8695
5 | 8695 |
37 | 1739 |
47 | 47 |
1 |
Prime factors of 8695 are 5,37,47. Prime factorization of 8695 in exponential form is:
8695 = 51×371×471
∴ So by taking common prime factors GCF of 8687 and 8695 is 1
Factors of 8687
List of positive integer factors of 8687 that divides 8687 without a remainder.
1,7,17,73,119,511,1241,8687
Factors of 8695
List of positive integer factors of 8695 that divides 8695 without a remainder.
1,5,37,47,185,235,1739,8695
Greatest Common Factor
We found the factors and prime factorization of 8687 and 8695. The biggest common factor number is the GCF number.
So the greatest common factor 8687 and 8695 is 1.
Also check out the Least Common Multiple of 8687 and 8695
(i) The GCF of 8687 and 8695 is associative
GCF of 8687 and 8695 = GCF of 8695 and 8687
1. What is the GCF of 8687 and 8695?
Answer: GCF of 8687 and 8695 is 1.
2. What are the Factors of 8687?
Answer: Factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687. There are 8 integers that are factors of 8687. The greatest factor of 8687 is 8687.
3. What are the Factors of 8695?
Answer: Factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695. There are 8 integers that are factors of 8695. The greatest factor of 8695 is 8695.
4. How to Find the GCF of 8687 and 8695?
Answer:
Greatest Common Factor of 8687 and 8695 = 1
Step 1: Find the prime factorization of 8687
8687 = 7 x 17 x 73
Step 2: Find the prime factorization of 8695
8695 = 5 x 37 x 47
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 8687 and 8695 is 1