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 8809, 8817 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8809 and 8817 is 1.
GCF(8809,8817) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8809
23 | 8809 |
383 | 383 |
1 |
Prime factors of 8809 are 23,383. Prime factorization of 8809 in exponential form is:
8809 = 231×3831
Prime Factorization of 8817
3 | 8817 |
2939 | 2939 |
1 |
Prime factors of 8817 are 3,2939. Prime factorization of 8817 in exponential form is:
8817 = 31×29391
∴ So by taking common prime factors GCF of 8809 and 8817 is 1
Factors of 8809
List of positive integer factors of 8809 that divides 8809 without a remainder.
1,23,383,8809
Factors of 8817
List of positive integer factors of 8817 that divides 8817 without a remainder.
1,3,2939,8817
Greatest Common Factor
We found the factors and prime factorization of 8809 and 8817. The biggest common factor number is the GCF number.
So the greatest common factor 8809 and 8817 is 1.
Also check out the Least Common Multiple of 8809 and 8817
(i) The GCF of 8809 and 8817 is associative
GCF of 8809 and 8817 = GCF of 8817 and 8809
1. What is the GCF of 8809 and 8817?
Answer: GCF of 8809 and 8817 is 1.
2. What are the Factors of 8809?
Answer: Factors of 8809 are 1, 23, 383, 8809. There are 4 integers that are factors of 8809. The greatest factor of 8809 is 8809.
3. What are the Factors of 8817?
Answer: Factors of 8817 are 1, 3, 2939, 8817. There are 4 integers that are factors of 8817. The greatest factor of 8817 is 8817.
4. How to Find the GCF of 8809 and 8817?
Answer:
Greatest Common Factor of 8809 and 8817 = 1
Step 1: Find the prime factorization of 8809
8809 = 23 x 383
Step 2: Find the prime factorization of 8817
8817 = 3 x 2939
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 8809 and 8817 is 1