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 7994, 7999 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7994 and 7999 is 1.
GCF(7994,7999) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7999
19 | 7999 |
421 | 421 |
1 |
Prime factors of 7999 are 19,421. Prime factorization of 7999 in exponential form is:
7999 = 191×4211
∴ So by taking common prime factors GCF of 7994 and 7999 is 1
Factors of 7994
List of positive integer factors of 7994 that divides 7994 without a remainder.
1,2,7,14,571,1142,3997,7994
Factors of 7999
List of positive integer factors of 7999 that divides 7999 without a remainder.
1,19,421,7999
Greatest Common Factor
We found the factors and prime factorization of 7994 and 7999. The biggest common factor number is the GCF number.
So the greatest common factor 7994 and 7999 is 1.
Also check out the Least Common Multiple of 7994 and 7999
(i) The GCF of 7994 and 7999 is associative
GCF of 7994 and 7999 = GCF of 7999 and 7994
1. What is the GCF of 7994 and 7999?
Answer: GCF of 7994 and 7999 is 1.
2. 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.
3. What are the Factors of 7999?
Answer: Factors of 7999 are 1, 19, 421, 7999. There are 4 integers that are factors of 7999. The greatest factor of 7999 is 7999.
4. How to Find the GCF of 7994 and 7999?
Answer:
Greatest Common Factor of 7994 and 7999 = 1
Step 1: Find the prime factorization of 7994
7994 = 2 x 7 x 571
Step 2: Find the prime factorization of 7999
7999 = 19 x 421
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 7994 and 7999 is 1