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 6068, 6071 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6068 and 6071 is 1.
GCF(6068,6071) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6068
2 | 6068 |
2 | 3034 |
37 | 1517 |
41 | 41 |
1 |
Prime factors of 6068 are 2,37,41. Prime factorization of 6068 in exponential form is:
6068 = 22×371×411
Prime Factorization of 6071
13 | 6071 |
467 | 467 |
1 |
Prime factors of 6071 are 13,467. Prime factorization of 6071 in exponential form is:
6071 = 131×4671
∴ So by taking common prime factors GCF of 6068 and 6071 is 1
Factors of 6068
List of positive integer factors of 6068 that divides 6068 without a remainder.
1,2,4,37,41,74,82,148,164,1517,3034,6068
Factors of 6071
List of positive integer factors of 6071 that divides 6071 without a remainder.
1,13,467,6071
Greatest Common Factor
We found the factors and prime factorization of 6068 and 6071. The biggest common factor number is the GCF number.
So the greatest common factor 6068 and 6071 is 1.
Also check out the Least Common Multiple of 6068 and 6071
(i) The GCF of 6068 and 6071 is associative
GCF of 6068 and 6071 = GCF of 6071 and 6068
1. What is the GCF of 6068 and 6071?
Answer: GCF of 6068 and 6071 is 1.
2. What are the Factors of 6068?
Answer: Factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068. There are 12 integers that are factors of 6068. The greatest factor of 6068 is 6068.
3. What are the Factors of 6071?
Answer: Factors of 6071 are 1, 13, 467, 6071. There are 4 integers that are factors of 6071. The greatest factor of 6071 is 6071.
4. How to Find the GCF of 6068 and 6071?
Answer:
Greatest Common Factor of 6068 and 6071 = 1
Step 1: Find the prime factorization of 6068
6068 = 2 x 2 x 37 x 41
Step 2: Find the prime factorization of 6071
6071 = 13 x 467
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 6068 and 6071 is 1