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, 7003 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6997 and 7003 is 1.
GCF(6997,7003) = 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 7003
47 | 7003 |
149 | 149 |
1 |
Prime factors of 7003 are 47.Prime factorization of 7003 in exponential form is:
7003 = 471×1491
∴ So by taking common prime factors GCF of 6997 and 7003 is 1
Factors of 6997
List of positive integer factors of 6997 that divides 6997 without a remainder.
1,6997
Factors of 7003
List of positive integer factors of 7003 that divides 7003 without a remainder.
1,47,149,7003
Greatest Common Factor
We found the factors and prime factorization of 6997 and 7003. The biggest common factor number is the GCF number.
So the greatest common factor 6997 and 7003 is 1.
Also check out the Least Common Multiple of 6997 and 7003
(i) The GCF of 6997 and 7003 is associative
GCF of 6997 and 7003 = GCF of 7003 and 6997
1. What is the GCF of 6997 and 7003?
Answer: GCF of 6997 and 7003 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 7003?
Answer: Factors of 7003 are 1, 47, 149, 7003. There are 4 integers that are factors of 7003. The greatest factor of 7003 is 7003.
4. How to Find the GCF of 6997 and 7003?
Answer:
Greatest Common Factor of 6997 and 7003 = 1
Step 1: Find the prime factorization of 6997
6997 = 6997
Step 2: Find the prime factorization of 7003
7003 = 47 x 149
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 7003 is 1