Greatest Common Factor of 5985 and 5990
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 5985, 5990 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5985 and 5990 is 5.
GCF(5985,5990) = 5
GCF of 5985 and 5990
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 5985 and 5990 by prime factorization method
- Greatest Common Factor of 5985 and 5990 by matching factors method
GCF of 5985 and 5990 is 5
Prime Factorization of 5985
| 3 | 5985 |
| 3 | 1995 |
| 5 | 665 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 5985 are 3,5,7,19. Prime factorization of 5985 in exponential form is:
5985 = 32×51×71×191
Prime Factorization of 5990
| 2 | 5990 |
| 5 | 2995 |
| 599 | 599 |
| 1 |
Prime factors of 5990 are 2,5,599. Prime factorization of 5990 in exponential form is:
5990 = 21×51×5991
∴ So by taking common prime factors GCF of 5985 and 5990 is 5
Greatest Common Factor of 5985 and 5990 by matching factors method
Factors of 5985
List of positive integer factors of 5985 that divides 5985 without a remainder.
1,3,5,7,9,15,19,21,35,45,57,63,95,105,133,171,285,315,399,665,855,1197,1995,5985
Factors of 5990
List of positive integer factors of 5990 that divides 5990 without a remainder.
1,2,5,10,599,1198,2995,5990
Greatest Common Factor
We found the factors and prime factorization of 5985 and 5990. The biggest common factor number is the GCF number.
So the greatest common factor 5985 and 5990 is 5.
Also check out the Least Common Multiple of 5985 and 5990
Properties of GCF 5985 and 5990
(i) The GCF of 5985 and 5990 is associative
GCF of 5985 and 5990 = GCF of 5990 and 5985
Related Greatest Common Factor of 5985
Related Greatest Common Factor of 5990
Frequently Asked Questions on GCF of 5985 and 5990
1. What is the GCF of 5985 and 5990?
Answer: GCF of 5985 and 5990 is 5.
2. What are the Factors of 5985?
Answer: Factors of 5985 are 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985. There are 24 integers that are factors of 5985. The greatest factor of 5985 is 5985.
3. What are the Factors of 5990?
Answer: Factors of 5990 are 1, 2, 5, 10, 599, 1198, 2995, 5990. There are 8 integers that are factors of 5990. The greatest factor of 5990 is 5990.
4. How to Find the GCF of 5985 and 5990?
Answer:
Greatest Common Factor of 5985 and 5990 = 5
Step 1: Find the prime factorization of 5985
5985 = 3 x 3 x 5 x 7 x 19
Step 2: Find the prime factorization of 5990
5990 = 2 x 5 x 599
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 5985 and 5990 is 5