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 8005, 8009 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8005 and 8009 is 1.
GCF(8005,8009) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8005
5 | 8005 |
1601 | 1601 |
1 |
Prime factors of 8005 are 5,1601. Prime factorization of 8005 in exponential form is:
8005 = 51×16011
Prime Factorization of 8009
8009 | 8009 |
1 |
Prime factors of 8009 are 8009. Prime factorization of 8009 in exponential form is:
8009 = 80091
∴ So by taking common prime factors GCF of 8005 and 8009 is 1
Factors of 8005
List of positive integer factors of 8005 that divides 8005 without a remainder.
1,5,1601,8005
Factors of 8009
List of positive integer factors of 8009 that divides 8009 without a remainder.
1,8009
Greatest Common Factor
We found the factors and prime factorization of 8005 and 8009. The biggest common factor number is the GCF number.
So the greatest common factor 8005 and 8009 is 1.
Also check out the Least Common Multiple of 8005 and 8009
(i) The GCF of 8005 and 8009 is associative
GCF of 8005 and 8009 = GCF of 8009 and 8005
1. What is the GCF of 8005 and 8009?
Answer: GCF of 8005 and 8009 is 1.
2. What are the Factors of 8005?
Answer: Factors of 8005 are 1, 5, 1601, 8005. There are 4 integers that are factors of 8005. The greatest factor of 8005 is 8005.
3. What are the Factors of 8009?
Answer: Factors of 8009 are 1, 8009. There are 2 integers that are factors of 8009. The greatest factor of 8009 is 8009.
4. How to Find the GCF of 8005 and 8009?
Answer:
Greatest Common Factor of 8005 and 8009 = 1
Step 1: Find the prime factorization of 8005
8005 = 5 x 1601
Step 2: Find the prime factorization of 8009
8009 = 8009
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 8005 and 8009 is 1