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 6982, 6986 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6982 and 6986 is 2.
GCF(6982,6986) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6982
2 | 6982 |
3491 | 3491 |
1 |
Prime factors of 6982 are 2,3491. Prime factorization of 6982 in exponential form is:
6982 = 21×34911
Prime Factorization of 6986
2 | 6986 |
7 | 3493 |
499 | 499 |
1 |
Prime factors of 6986 are 2,7,499. Prime factorization of 6986 in exponential form is:
6986 = 21×71×4991
∴ So by taking common prime factors GCF of 6982 and 6986 is 2
Factors of 6982
List of positive integer factors of 6982 that divides 6982 without a remainder.
1,2,3491,6982
Factors of 6986
List of positive integer factors of 6986 that divides 6986 without a remainder.
1,2,7,14,499,998,3493,6986
Greatest Common Factor
We found the factors and prime factorization of 6982 and 6986. The biggest common factor number is the GCF number.
So the greatest common factor 6982 and 6986 is 2.
Also check out the Least Common Multiple of 6982 and 6986
(i) The GCF of 6982 and 6986 is associative
GCF of 6982 and 6986 = GCF of 6986 and 6982
1. What is the GCF of 6982 and 6986?
Answer: GCF of 6982 and 6986 is 2.
2. What are the Factors of 6982?
Answer: Factors of 6982 are 1, 2, 3491, 6982. There are 4 integers that are factors of 6982. The greatest factor of 6982 is 6982.
3. What are the Factors of 6986?
Answer: Factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986. There are 8 integers that are factors of 6986. The greatest factor of 6986 is 6986.
4. How to Find the GCF of 6982 and 6986?
Answer:
Greatest Common Factor of 6982 and 6986 = 2
Step 1: Find the prime factorization of 6982
6982 = 2 x 3491
Step 2: Find the prime factorization of 6986
6986 = 2 x 7 x 499
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6982 and 6986 is 2