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 7005, 7011 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7005 and 7011 is 3.
GCF(7005,7011) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7011
3 | 7011 |
3 | 2337 |
19 | 779 |
41 | 41 |
1 |
Prime factors of 7011 are 3,19,41. Prime factorization of 7011 in exponential form is:
7011 = 32×191×411
∴ So by taking common prime factors GCF of 7005 and 7011 is 3
Factors of 7005
List of positive integer factors of 7005 that divides 7005 without a remainder.
1,3,5,15,467,1401,2335,7005
Factors of 7011
List of positive integer factors of 7011 that divides 7011 without a remainder.
1,3,9,19,41,57,123,171,369,779,2337,7011
Greatest Common Factor
We found the factors and prime factorization of 7005 and 7011. The biggest common factor number is the GCF number.
So the greatest common factor 7005 and 7011 is 3.
Also check out the Least Common Multiple of 7005 and 7011
(i) The GCF of 7005 and 7011 is associative
GCF of 7005 and 7011 = GCF of 7011 and 7005
1. What is the GCF of 7005 and 7011?
Answer: GCF of 7005 and 7011 is 3.
2. 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.
3. What are the Factors of 7011?
Answer: Factors of 7011 are 1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011. There are 12 integers that are factors of 7011. The greatest factor of 7011 is 7011.
4. How to Find the GCF of 7005 and 7011?
Answer:
Greatest Common Factor of 7005 and 7011 = 3
Step 1: Find the prime factorization of 7005
7005 = 3 x 5 x 467
Step 2: Find the prime factorization of 7011
7011 = 3 x 3 x 19 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7005 and 7011 is 3