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 7988, 7994 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7988 and 7994 is 2.
GCF(7988,7994) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7988
2 | 7988 |
2 | 3994 |
1997 | 1997 |
1 |
Prime factors of 7988 are 2,1997. Prime factorization of 7988 in exponential form is:
7988 = 22×19971
Prime Factorization of 7994
2 | 7994 |
7 | 3997 |
571 | 571 |
1 |
Prime factors of 7994 are 2,7,571. Prime factorization of 7994 in exponential form is:
7994 = 21×71×5711
∴ So by taking common prime factors GCF of 7988 and 7994 is 2
Factors of 7988
List of positive integer factors of 7988 that divides 7988 without a remainder.
1,2,4,1997,3994,7988
Factors of 7994
List of positive integer factors of 7994 that divides 7994 without a remainder.
1,2,7,14,571,1142,3997,7994
Greatest Common Factor
We found the factors and prime factorization of 7988 and 7994. The biggest common factor number is the GCF number.
So the greatest common factor 7988 and 7994 is 2.
Also check out the Least Common Multiple of 7988 and 7994
(i) The GCF of 7988 and 7994 is associative
GCF of 7988 and 7994 = GCF of 7994 and 7988
1. What is the GCF of 7988 and 7994?
Answer: GCF of 7988 and 7994 is 2.
2. What are the Factors of 7988?
Answer: Factors of 7988 are 1, 2, 4, 1997, 3994, 7988. There are 6 integers that are factors of 7988. The greatest factor of 7988 is 7988.
3. What are the Factors of 7994?
Answer: Factors of 7994 are 1, 2, 7, 14, 571, 1142, 3997, 7994. There are 8 integers that are factors of 7994. The greatest factor of 7994 is 7994.
4. How to Find the GCF of 7988 and 7994?
Answer:
Greatest Common Factor of 7988 and 7994 = 2
Step 1: Find the prime factorization of 7988
7988 = 2 x 2 x 1997
Step 2: Find the prime factorization of 7994
7994 = 2 x 7 x 571
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 7988 and 7994 is 2