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 8606, 8609 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8606 and 8609 is 1.
GCF(8606,8609) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8606
2 | 8606 |
13 | 4303 |
331 | 331 |
1 |
Prime factors of 8606 are 2,13,331. Prime factorization of 8606 in exponential form is:
8606 = 21×131×3311
Prime Factorization of 8609
8609 | 8609 |
1 |
Prime factors of 8609 are 8609. Prime factorization of 8609 in exponential form is:
8609 = 86091
∴ So by taking common prime factors GCF of 8606 and 8609 is 1
Factors of 8606
List of positive integer factors of 8606 that divides 8606 without a remainder.
1,2,13,26,331,662,4303,8606
Factors of 8609
List of positive integer factors of 8609 that divides 8609 without a remainder.
1,8609
Greatest Common Factor
We found the factors and prime factorization of 8606 and 8609. The biggest common factor number is the GCF number.
So the greatest common factor 8606 and 8609 is 1.
Also check out the Least Common Multiple of 8606 and 8609
(i) The GCF of 8606 and 8609 is associative
GCF of 8606 and 8609 = GCF of 8609 and 8606
1. What is the GCF of 8606 and 8609?
Answer: GCF of 8606 and 8609 is 1.
2. What are the Factors of 8606?
Answer: Factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606. There are 8 integers that are factors of 8606. The greatest factor of 8606 is 8606.
3. What are the Factors of 8609?
Answer: Factors of 8609 are 1, 8609. There are 2 integers that are factors of 8609. The greatest factor of 8609 is 8609.
4. How to Find the GCF of 8606 and 8609?
Answer:
Greatest Common Factor of 8606 and 8609 = 1
Step 1: Find the prime factorization of 8606
8606 = 2 x 13 x 331
Step 2: Find the prime factorization of 8609
8609 = 8609
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 8606 and 8609 is 1