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 8067, 8068 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8067 and 8068 is 1.
GCF(8067,8068) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8067
3 | 8067 |
2689 | 2689 |
1 |
Prime factors of 8067 are 3,2689. Prime factorization of 8067 in exponential form is:
8067 = 31×26891
Prime Factorization of 8068
2 | 8068 |
2 | 4034 |
2017 | 2017 |
1 |
Prime factors of 8068 are 2,2017. Prime factorization of 8068 in exponential form is:
8068 = 22×20171
∴ So by taking common prime factors GCF of 8067 and 8068 is 1
Factors of 8067
List of positive integer factors of 8067 that divides 8067 without a remainder.
1,3,2689,8067
Factors of 8068
List of positive integer factors of 8068 that divides 8068 without a remainder.
1,2,4,2017,4034,8068
Greatest Common Factor
We found the factors and prime factorization of 8067 and 8068. The biggest common factor number is the GCF number.
So the greatest common factor 8067 and 8068 is 1.
Also check out the Least Common Multiple of 8067 and 8068
(i) The GCF of 8067 and 8068 is associative
GCF of 8067 and 8068 = GCF of 8068 and 8067
1. What is the GCF of 8067 and 8068?
Answer: GCF of 8067 and 8068 is 1.
2. What are the Factors of 8067?
Answer: Factors of 8067 are 1, 3, 2689, 8067. There are 4 integers that are factors of 8067. The greatest factor of 8067 is 8067.
3. What are the Factors of 8068?
Answer: Factors of 8068 are 1, 2, 4, 2017, 4034, 8068. There are 6 integers that are factors of 8068. The greatest factor of 8068 is 8068.
4. How to Find the GCF of 8067 and 8068?
Answer:
Greatest Common Factor of 8067 and 8068 = 1
Step 1: Find the prime factorization of 8067
8067 = 3 x 2689
Step 2: Find the prime factorization of 8068
8068 = 2 x 2 x 2017
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 8067 and 8068 is 1