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 2993, 2994 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2993 and 2994 is 1.
GCF(2993,2994) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2993
41 | 2993 |
73 | 73 |
1 |
Prime factors of 2993 are 41,73. Prime factorization of 2993 in exponential form is:
2993 = 411×731
Prime Factorization of 2994
2 | 2994 |
3 | 1497 |
499 | 499 |
1 |
Prime factors of 2994 are 2,3,499. Prime factorization of 2994 in exponential form is:
2994 = 21×31×4991
∴ So by taking common prime factors GCF of 2993 and 2994 is 1
Factors of 2993
List of positive integer factors of 2993 that divides 2993 without a remainder.
1,41,73,2993
Factors of 2994
List of positive integer factors of 2994 that divides 2994 without a remainder.
1,2,3,6,499,998,1497,2994
Greatest Common Factor
We found the factors and prime factorization of 2993 and 2994. The biggest common factor number is the GCF number.
So the greatest common factor 2993 and 2994 is 1.
Also check out the Least Common Multiple of 2993 and 2994
(i) The GCF of 2993 and 2994 is associative
GCF of 2993 and 2994 = GCF of 2994 and 2993
1. What is the GCF of 2993 and 2994?
Answer: GCF of 2993 and 2994 is 1.
2. What are the Factors of 2993?
Answer: Factors of 2993 are 1, 41, 73, 2993. There are 4 integers that are factors of 2993. The greatest factor of 2993 is 2993.
3. What are the Factors of 2994?
Answer: Factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994. There are 8 integers that are factors of 2994. The greatest factor of 2994 is 2994.
4. How to Find the GCF of 2993 and 2994?
Answer:
Greatest Common Factor of 2993 and 2994 = 1
Step 1: Find the prime factorization of 2993
2993 = 41 x 73
Step 2: Find the prime factorization of 2994
2994 = 2 x 3 x 499
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 2993 and 2994 is 1