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 6086, 6090 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6086 and 6090 is 2.
GCF(6086,6090) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6086
2 | 6086 |
17 | 3043 |
179 | 179 |
1 |
Prime factors of 6086 are 2,17,179. Prime factorization of 6086 in exponential form is:
6086 = 21×171×1791
Prime Factorization of 6090
2 | 6090 |
3 | 3045 |
5 | 1015 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 6090 are 2,3,5,7,29. Prime factorization of 6090 in exponential form is:
6090 = 21×31×51×71×291
∴ So by taking common prime factors GCF of 6086 and 6090 is 2
Factors of 6086
List of positive integer factors of 6086 that divides 6086 without a remainder.
1,2,17,34,179,358,3043,6086
Factors of 6090
List of positive integer factors of 6090 that divides 6090 without a remainder.
1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090
Greatest Common Factor
We found the factors and prime factorization of 6086 and 6090. The biggest common factor number is the GCF number.
So the greatest common factor 6086 and 6090 is 2.
Also check out the Least Common Multiple of 6086 and 6090
(i) The GCF of 6086 and 6090 is associative
GCF of 6086 and 6090 = GCF of 6090 and 6086
1. What is the GCF of 6086 and 6090?
Answer: GCF of 6086 and 6090 is 2.
2. What are the Factors of 6086?
Answer: Factors of 6086 are 1, 2, 17, 34, 179, 358, 3043, 6086. There are 8 integers that are factors of 6086. The greatest factor of 6086 is 6086.
3. What are the Factors of 6090?
Answer: Factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090. There are 32 integers that are factors of 6090. The greatest factor of 6090 is 6090.
4. How to Find the GCF of 6086 and 6090?
Answer:
Greatest Common Factor of 6086 and 6090 = 2
Step 1: Find the prime factorization of 6086
6086 = 2 x 17 x 179
Step 2: Find the prime factorization of 6090
6090 = 2 x 3 x 5 x 7 x 29
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 6086 and 6090 is 2