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 7004, 7005 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7004 and 7005 is 1.
GCF(7004,7005) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7004
2 | 7004 |
2 | 3502 |
17 | 1751 |
103 | 103 |
1 |
Prime factors of 7004 are 2,17,103. Prime factorization of 7004 in exponential form is:
7004 = 22×171×1031
Prime Factorization of 7005
3 | 7005 |
5 | 2335 |
467 | 467 |
1 |
Prime factors of 7005 are 3,5,467. Prime factorization of 7005 in exponential form is:
7005 = 31×51×4671
∴ So by taking common prime factors GCF of 7004 and 7005 is 1
Factors of 7004
List of positive integer factors of 7004 that divides 7004 without a remainder.
1,2,4,17,34,68,103,206,412,1751,3502,7004
Factors of 7005
List of positive integer factors of 7005 that divides 7005 without a remainder.
1,3,5,15,467,1401,2335,7005
Greatest Common Factor
We found the factors and prime factorization of 7004 and 7005. The biggest common factor number is the GCF number.
So the greatest common factor 7004 and 7005 is 1.
Also check out the Least Common Multiple of 7004 and 7005
(i) The GCF of 7004 and 7005 is associative
GCF of 7004 and 7005 = GCF of 7005 and 7004
1. What is the GCF of 7004 and 7005?
Answer: GCF of 7004 and 7005 is 1.
2. What are the Factors of 7004?
Answer: Factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004. There are 12 integers that are factors of 7004. The greatest factor of 7004 is 7004.
3. What are the Factors of 7005?
Answer: Factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005. There are 8 integers that are factors of 7005. The greatest factor of 7005 is 7005.
4. How to Find the GCF of 7004 and 7005?
Answer:
Greatest Common Factor of 7004 and 7005 = 1
Step 1: Find the prime factorization of 7004
7004 = 2 x 2 x 17 x 103
Step 2: Find the prime factorization of 7005
7005 = 3 x 5 x 467
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 7004 and 7005 is 1