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 5994, 5998 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5994 and 5998 is 2.
GCF(5994,5998) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5994
2 | 5994 |
3 | 2997 |
3 | 999 |
3 | 333 |
3 | 111 |
37 | 37 |
1 |
Prime factors of 5994 are 2,3,37. Prime factorization of 5994 in exponential form is:
5994 = 21×34×371
Prime Factorization of 5998
2 | 5998 |
2999 | 2999 |
1 |
Prime factors of 5998 are 2,2999. Prime factorization of 5998 in exponential form is:
5998 = 21×29991
∴ So by taking common prime factors GCF of 5994 and 5998 is 2
Factors of 5994
List of positive integer factors of 5994 that divides 5994 without a remainder.
1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994
Factors of 5998
List of positive integer factors of 5998 that divides 5998 without a remainder.
1,2,2999,5998
Greatest Common Factor
We found the factors and prime factorization of 5994 and 5998. The biggest common factor number is the GCF number.
So the greatest common factor 5994 and 5998 is 2.
Also check out the Least Common Multiple of 5994 and 5998
(i) The GCF of 5994 and 5998 is associative
GCF of 5994 and 5998 = GCF of 5998 and 5994
1. What is the GCF of 5994 and 5998?
Answer: GCF of 5994 and 5998 is 2.
2. What are the Factors of 5994?
Answer: Factors of 5994 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994. There are 20 integers that are factors of 5994. The greatest factor of 5994 is 5994.
3. What are the Factors of 5998?
Answer: Factors of 5998 are 1, 2, 2999, 5998. There are 4 integers that are factors of 5998. The greatest factor of 5998 is 5998.
4. How to Find the GCF of 5994 and 5998?
Answer:
Greatest Common Factor of 5994 and 5998 = 2
Step 1: Find the prime factorization of 5994
5994 = 2 x 3 x 3 x 3 x 3 x 37
Step 2: Find the prime factorization of 5998
5998 = 2 x 2999
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 5994 and 5998 is 2