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 5998, 6002 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5998 and 6002 is 2.
GCF(5998,6002) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6002
2 | 6002 |
3001 | 3001 |
1 |
Prime factors of 6002 are 2,3001. Prime factorization of 6002 in exponential form is:
6002 = 21×30011
∴ So by taking common prime factors GCF of 5998 and 6002 is 2
Factors of 5998
List of positive integer factors of 5998 that divides 5998 without a remainder.
1,2,2999,5998
Factors of 6002
List of positive integer factors of 6002 that divides 6002 without a remainder.
1,2,3001,6002
Greatest Common Factor
We found the factors and prime factorization of 5998 and 6002. The biggest common factor number is the GCF number.
So the greatest common factor 5998 and 6002 is 2.
Also check out the Least Common Multiple of 5998 and 6002
(i) The GCF of 5998 and 6002 is associative
GCF of 5998 and 6002 = GCF of 6002 and 5998
1. What is the GCF of 5998 and 6002?
Answer: GCF of 5998 and 6002 is 2.
2. 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.
3. What are the Factors of 6002?
Answer: Factors of 6002 are 1, 2, 3001, 6002. There are 4 integers that are factors of 6002. The greatest factor of 6002 is 6002.
4. How to Find the GCF of 5998 and 6002?
Answer:
Greatest Common Factor of 5998 and 6002 = 2
Step 1: Find the prime factorization of 5998
5998 = 2 x 2999
Step 2: Find the prime factorization of 6002
6002 = 2 x 3001
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 5998 and 6002 is 2