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 5979, 5985 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5979 and 5985 is 3.
GCF(5979,5985) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5979
3 | 5979 |
1993 | 1993 |
1 |
Prime factors of 5979 are 3,1993. Prime factorization of 5979 in exponential form is:
5979 = 31×19931
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
∴ So by taking common prime factors GCF of 5979 and 5985 is 3
Factors of 5979
List of positive integer factors of 5979 that divides 5979 without a remainder.
1,3,1993,5979
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
Greatest Common Factor
We found the factors and prime factorization of 5979 and 5985. The biggest common factor number is the GCF number.
So the greatest common factor 5979 and 5985 is 3.
Also check out the Least Common Multiple of 5979 and 5985
(i) The GCF of 5979 and 5985 is associative
GCF of 5979 and 5985 = GCF of 5985 and 5979
1. What is the GCF of 5979 and 5985?
Answer: GCF of 5979 and 5985 is 3.
2. What are the Factors of 5979?
Answer: Factors of 5979 are 1, 3, 1993, 5979. There are 4 integers that are factors of 5979. The greatest factor of 5979 is 5979.
3. 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.
4. How to Find the GCF of 5979 and 5985?
Answer:
Greatest Common Factor of 5979 and 5985 = 3
Step 1: Find the prime factorization of 5979
5979 = 3 x 1993
Step 2: Find the prime factorization of 5985
5985 = 3 x 3 x 5 x 7 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5979 and 5985 is 3