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 6983, 6989 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6983 and 6989 is 1.
GCF(6983,6989) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6983
6983 | 6983 |
1 |
Prime factors of 6983 are 6983. Prime factorization of 6983 in exponential form is:
6983 = 69831
Prime Factorization of 6989
29 | 6989 |
241 | 241 |
1 |
Prime factors of 6989 are 29.Prime factorization of 6989 in exponential form is:
6989 = 291×2411
∴ So by taking common prime factors GCF of 6983 and 6989 is 1
Factors of 6983
List of positive integer factors of 6983 that divides 6983 without a remainder.
1,6983
Factors of 6989
List of positive integer factors of 6989 that divides 6989 without a remainder.
1,29,241,6989
Greatest Common Factor
We found the factors and prime factorization of 6983 and 6989. The biggest common factor number is the GCF number.
So the greatest common factor 6983 and 6989 is 1.
Also check out the Least Common Multiple of 6983 and 6989
(i) The GCF of 6983 and 6989 is associative
GCF of 6983 and 6989 = GCF of 6989 and 6983
1. What is the GCF of 6983 and 6989?
Answer: GCF of 6983 and 6989 is 1.
2. What are the Factors of 6983?
Answer: Factors of 6983 are 1, 6983. There are 2 integers that are factors of 6983. The greatest factor of 6983 is 6983.
3. What are the Factors of 6989?
Answer: Factors of 6989 are 1, 29, 241, 6989. There are 4 integers that are factors of 6989. The greatest factor of 6989 is 6989.
4. How to Find the GCF of 6983 and 6989?
Answer:
Greatest Common Factor of 6983 and 6989 = 1
Step 1: Find the prime factorization of 6983
6983 = 6983
Step 2: Find the prime factorization of 6989
6989 = 29 x 241
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 6983 and 6989 is 1