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 8717, 8725 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8717 and 8725 is 1.
GCF(8717,8725) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8717
23 | 8717 |
379 | 379 |
1 |
Prime factors of 8717 are 23,379. Prime factorization of 8717 in exponential form is:
8717 = 231×3791
Prime Factorization of 8725
5 | 8725 |
5 | 1745 |
349 | 349 |
1 |
Prime factors of 8725 are 5,349. Prime factorization of 8725 in exponential form is:
8725 = 52×3491
∴ So by taking common prime factors GCF of 8717 and 8725 is 1
Factors of 8717
List of positive integer factors of 8717 that divides 8717 without a remainder.
1,23,379,8717
Factors of 8725
List of positive integer factors of 8725 that divides 8725 without a remainder.
1,5,25,349,1745,8725
Greatest Common Factor
We found the factors and prime factorization of 8717 and 8725. The biggest common factor number is the GCF number.
So the greatest common factor 8717 and 8725 is 1.
Also check out the Least Common Multiple of 8717 and 8725
(i) The GCF of 8717 and 8725 is associative
GCF of 8717 and 8725 = GCF of 8725 and 8717
1. What is the GCF of 8717 and 8725?
Answer: GCF of 8717 and 8725 is 1.
2. What are the Factors of 8717?
Answer: Factors of 8717 are 1, 23, 379, 8717. There are 4 integers that are factors of 8717. The greatest factor of 8717 is 8717.
3. What are the Factors of 8725?
Answer: Factors of 8725 are 1, 5, 25, 349, 1745, 8725. There are 6 integers that are factors of 8725. The greatest factor of 8725 is 8725.
4. How to Find the GCF of 8717 and 8725?
Answer:
Greatest Common Factor of 8717 and 8725 = 1
Step 1: Find the prime factorization of 8717
8717 = 23 x 379
Step 2: Find the prime factorization of 8725
8725 = 5 x 5 x 349
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 8717 and 8725 is 1