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 6010, 6018 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6010 and 6018 is 2.
GCF(6010,6018) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6010
2 | 6010 |
5 | 3005 |
601 | 601 |
1 |
Prime factors of 6010 are 2,5,601. Prime factorization of 6010 in exponential form is:
6010 = 21×51×6011
Prime Factorization of 6018
2 | 6018 |
3 | 3009 |
17 | 1003 |
59 | 59 |
1 |
Prime factors of 6018 are 2,3,17,59. Prime factorization of 6018 in exponential form is:
6018 = 21×31×171×591
∴ So by taking common prime factors GCF of 6010 and 6018 is 2
Factors of 6010
List of positive integer factors of 6010 that divides 6010 without a remainder.
1,2,5,10,601,1202,3005,6010
Factors of 6018
List of positive integer factors of 6018 that divides 6018 without a remainder.
1,2,3,6,17,34,51,59,102,118,177,354,1003,2006,3009,6018
Greatest Common Factor
We found the factors and prime factorization of 6010 and 6018. The biggest common factor number is the GCF number.
So the greatest common factor 6010 and 6018 is 2.
Also check out the Least Common Multiple of 6010 and 6018
(i) The GCF of 6010 and 6018 is associative
GCF of 6010 and 6018 = GCF of 6018 and 6010
1. What is the GCF of 6010 and 6018?
Answer: GCF of 6010 and 6018 is 2.
2. What are the Factors of 6010?
Answer: Factors of 6010 are 1, 2, 5, 10, 601, 1202, 3005, 6010. There are 8 integers that are factors of 6010. The greatest factor of 6010 is 6010.
3. What are the Factors of 6018?
Answer: Factors of 6018 are 1, 2, 3, 6, 17, 34, 51, 59, 102, 118, 177, 354, 1003, 2006, 3009, 6018. There are 16 integers that are factors of 6018. The greatest factor of 6018 is 6018.
4. How to Find the GCF of 6010 and 6018?
Answer:
Greatest Common Factor of 6010 and 6018 = 2
Step 1: Find the prime factorization of 6010
6010 = 2 x 5 x 601
Step 2: Find the prime factorization of 6018
6018 = 2 x 3 x 17 x 59
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 6010 and 6018 is 2