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 6997, 7005 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6997 and 7005 is 1.
GCF(6997,7005) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6997
6997 | 6997 |
1 |
Prime factors of 6997 are 6997. Prime factorization of 6997 in exponential form is:
6997 = 69971
Prime Factorization of 7005
3 | 7005 |
5 | 2335 |
467 | 467 |
1 |
Prime factors of 7005 are 3.Prime factorization of 7005 in exponential form is:
7005 = 31×51×4671
∴ So by taking common prime factors GCF of 6997 and 7005 is 1
Factors of 6997
List of positive integer factors of 6997 that divides 6997 without a remainder.
1,6997
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 6997 and 7005. The biggest common factor number is the GCF number.
So the greatest common factor 6997 and 7005 is 1.
Also check out the Least Common Multiple of 6997 and 7005
(i) The GCF of 6997 and 7005 is associative
GCF of 6997 and 7005 = GCF of 7005 and 6997
1. What is the GCF of 6997 and 7005?
Answer: GCF of 6997 and 7005 is 1.
2. What are the Factors of 6997?
Answer: Factors of 6997 are 1, 6997. There are 2 integers that are factors of 6997. The greatest factor of 6997 is 6997.
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 6997 and 7005?
Answer:
Greatest Common Factor of 6997 and 7005 = 1
Step 1: Find the prime factorization of 6997
6997 = 6997
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 6997 and 7005 is 1