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 8565, 8566 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8565 and 8566 is 1.
GCF(8565,8566) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8565
3 | 8565 |
5 | 2855 |
571 | 571 |
1 |
Prime factors of 8565 are 3,5,571. Prime factorization of 8565 in exponential form is:
8565 = 31×51×5711
Prime Factorization of 8566
2 | 8566 |
4283 | 4283 |
1 |
Prime factors of 8566 are 2,4283. Prime factorization of 8566 in exponential form is:
8566 = 21×42831
∴ So by taking common prime factors GCF of 8565 and 8566 is 1
Factors of 8565
List of positive integer factors of 8565 that divides 8565 without a remainder.
1,3,5,15,571,1713,2855,8565
Factors of 8566
List of positive integer factors of 8566 that divides 8566 without a remainder.
1,2,4283,8566
Greatest Common Factor
We found the factors and prime factorization of 8565 and 8566. The biggest common factor number is the GCF number.
So the greatest common factor 8565 and 8566 is 1.
Also check out the Least Common Multiple of 8565 and 8566
(i) The GCF of 8565 and 8566 is associative
GCF of 8565 and 8566 = GCF of 8566 and 8565
1. What is the GCF of 8565 and 8566?
Answer: GCF of 8565 and 8566 is 1.
2. What are the Factors of 8565?
Answer: Factors of 8565 are 1, 3, 5, 15, 571, 1713, 2855, 8565. There are 8 integers that are factors of 8565. The greatest factor of 8565 is 8565.
3. What are the Factors of 8566?
Answer: Factors of 8566 are 1, 2, 4283, 8566. There are 4 integers that are factors of 8566. The greatest factor of 8566 is 8566.
4. How to Find the GCF of 8565 and 8566?
Answer:
Greatest Common Factor of 8565 and 8566 = 1
Step 1: Find the prime factorization of 8565
8565 = 3 x 5 x 571
Step 2: Find the prime factorization of 8566
8566 = 2 x 4283
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 8565 and 8566 is 1