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 7986, 7991 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7986 and 7991 is 1.
GCF(7986,7991) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7986
2 | 7986 |
3 | 3993 |
11 | 1331 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 7986 are 2,3,11. Prime factorization of 7986 in exponential form is:
7986 = 21×31×113
Prime Factorization of 7991
61 | 7991 |
131 | 131 |
1 |
Prime factors of 7991 are 61,131. Prime factorization of 7991 in exponential form is:
7991 = 611×1311
∴ So by taking common prime factors GCF of 7986 and 7991 is 1
Factors of 7986
List of positive integer factors of 7986 that divides 7986 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986
Factors of 7991
List of positive integer factors of 7991 that divides 7991 without a remainder.
1,61,131,7991
Greatest Common Factor
We found the factors and prime factorization of 7986 and 7991. The biggest common factor number is the GCF number.
So the greatest common factor 7986 and 7991 is 1.
Also check out the Least Common Multiple of 7986 and 7991
(i) The GCF of 7986 and 7991 is associative
GCF of 7986 and 7991 = GCF of 7991 and 7986
1. What is the GCF of 7986 and 7991?
Answer: GCF of 7986 and 7991 is 1.
2. What are the Factors of 7986?
Answer: Factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986. There are 16 integers that are factors of 7986. The greatest factor of 7986 is 7986.
3. What are the Factors of 7991?
Answer: Factors of 7991 are 1, 61, 131, 7991. There are 4 integers that are factors of 7991. The greatest factor of 7991 is 7991.
4. How to Find the GCF of 7986 and 7991?
Answer:
Greatest Common Factor of 7986 and 7991 = 1
Step 1: Find the prime factorization of 7986
7986 = 2 x 3 x 11 x 11 x 11
Step 2: Find the prime factorization of 7991
7991 = 61 x 131
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 7986 and 7991 is 1