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 7991, 7996 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7991 and 7996 is 1.
GCF(7991,7996) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7996
2 | 7996 |
2 | 3998 |
1999 | 1999 |
1 |
Prime factors of 7996 are 2,1999. Prime factorization of 7996 in exponential form is:
7996 = 22×19991
∴ So by taking common prime factors GCF of 7991 and 7996 is 1
Factors of 7991
List of positive integer factors of 7991 that divides 7991 without a remainder.
1,61,131,7991
Factors of 7996
List of positive integer factors of 7996 that divides 7996 without a remainder.
1,2,4,1999,3998,7996
Greatest Common Factor
We found the factors and prime factorization of 7991 and 7996. The biggest common factor number is the GCF number.
So the greatest common factor 7991 and 7996 is 1.
Also check out the Least Common Multiple of 7991 and 7996
(i) The GCF of 7991 and 7996 is associative
GCF of 7991 and 7996 = GCF of 7996 and 7991
1. What is the GCF of 7991 and 7996?
Answer: GCF of 7991 and 7996 is 1.
2. 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.
3. What are the Factors of 7996?
Answer: Factors of 7996 are 1, 2, 4, 1999, 3998, 7996. There are 6 integers that are factors of 7996. The greatest factor of 7996 is 7996.
4. How to Find the GCF of 7991 and 7996?
Answer:
Greatest Common Factor of 7991 and 7996 = 1
Step 1: Find the prime factorization of 7991
7991 = 61 x 131
Step 2: Find the prime factorization of 7996
7996 = 2 x 2 x 1999
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 7991 and 7996 is 1