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 6017, 6020 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6017 and 6020 is 1.
GCF(6017,6020) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6017
11 | 6017 |
547 | 547 |
1 |
Prime factors of 6017 are 11,547. Prime factorization of 6017 in exponential form is:
6017 = 111×5471
Prime Factorization of 6020
2 | 6020 |
2 | 3010 |
5 | 1505 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 6020 are 2,5,7,43. Prime factorization of 6020 in exponential form is:
6020 = 22×51×71×431
∴ So by taking common prime factors GCF of 6017 and 6020 is 1
Factors of 6017
List of positive integer factors of 6017 that divides 6017 without a remainder.
1,11,547,6017
Factors of 6020
List of positive integer factors of 6020 that divides 6020 without a remainder.
1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020
Greatest Common Factor
We found the factors and prime factorization of 6017 and 6020. The biggest common factor number is the GCF number.
So the greatest common factor 6017 and 6020 is 1.
Also check out the Least Common Multiple of 6017 and 6020
(i) The GCF of 6017 and 6020 is associative
GCF of 6017 and 6020 = GCF of 6020 and 6017
1. What is the GCF of 6017 and 6020?
Answer: GCF of 6017 and 6020 is 1.
2. What are the Factors of 6017?
Answer: Factors of 6017 are 1, 11, 547, 6017. There are 4 integers that are factors of 6017. The greatest factor of 6017 is 6017.
3. What are the Factors of 6020?
Answer: Factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020. There are 24 integers that are factors of 6020. The greatest factor of 6020 is 6020.
4. How to Find the GCF of 6017 and 6020?
Answer:
Greatest Common Factor of 6017 and 6020 = 1
Step 1: Find the prime factorization of 6017
6017 = 11 x 547
Step 2: Find the prime factorization of 6020
6020 = 2 x 2 x 5 x 7 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 6017 and 6020 is 1