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 3993, 3994 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3993 and 3994 is 1.
GCF(3993,3994) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3993
3 | 3993 |
11 | 1331 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 3993 are 3,11. Prime factorization of 3993 in exponential form is:
3993 = 31×113
Prime Factorization of 3994
2 | 3994 |
1997 | 1997 |
1 |
Prime factors of 3994 are 2,1997. Prime factorization of 3994 in exponential form is:
3994 = 21×19971
∴ So by taking common prime factors GCF of 3993 and 3994 is 1
Factors of 3993
List of positive integer factors of 3993 that divides 3993 without a remainder.
1,3,11,33,121,363,1331,3993
Factors of 3994
List of positive integer factors of 3994 that divides 3994 without a remainder.
1,2,1997,3994
Greatest Common Factor
We found the factors and prime factorization of 3993 and 3994. The biggest common factor number is the GCF number.
So the greatest common factor 3993 and 3994 is 1.
Also check out the Least Common Multiple of 3993 and 3994
(i) The GCF of 3993 and 3994 is associative
GCF of 3993 and 3994 = GCF of 3994 and 3993
1. What is the GCF of 3993 and 3994?
Answer: GCF of 3993 and 3994 is 1.
2. What are the Factors of 3993?
Answer: Factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993. There are 8 integers that are factors of 3993. The greatest factor of 3993 is 3993.
3. What are the Factors of 3994?
Answer: Factors of 3994 are 1, 2, 1997, 3994. There are 4 integers that are factors of 3994. The greatest factor of 3994 is 3994.
4. How to Find the GCF of 3993 and 3994?
Answer:
Greatest Common Factor of 3993 and 3994 = 1
Step 1: Find the prime factorization of 3993
3993 = 3 x 11 x 11 x 11
Step 2: Find the prime factorization of 3994
3994 = 2 x 1997
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 3993 and 3994 is 1