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 8002, 8005 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8002 and 8005 is 1.
GCF(8002,8005) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8002
2 | 8002 |
4001 | 4001 |
1 |
Prime factors of 8002 are 2,4001. Prime factorization of 8002 in exponential form is:
8002 = 21×40011
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
∴ So by taking common prime factors GCF of 8002 and 8005 is 1
Factors of 8002
List of positive integer factors of 8002 that divides 8002 without a remainder.
1,2,4001,8002
Factors of 8005
List of positive integer factors of 8005 that divides 8005 without a remainder.
1,5,1601,8005
Greatest Common Factor
We found the factors and prime factorization of 8002 and 8005. The biggest common factor number is the GCF number.
So the greatest common factor 8002 and 8005 is 1.
Also check out the Least Common Multiple of 8002 and 8005
(i) The GCF of 8002 and 8005 is associative
GCF of 8002 and 8005 = GCF of 8005 and 8002
1. What is the GCF of 8002 and 8005?
Answer: GCF of 8002 and 8005 is 1.
2. What are the Factors of 8002?
Answer: Factors of 8002 are 1, 2, 4001, 8002. There are 4 integers that are factors of 8002. The greatest factor of 8002 is 8002.
3. 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.
4. How to Find the GCF of 8002 and 8005?
Answer:
Greatest Common Factor of 8002 and 8005 = 1
Step 1: Find the prime factorization of 8002
8002 = 2 x 4001
Step 2: Find the prime factorization of 8005
8005 = 5 x 1601
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 8002 and 8005 is 1