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 8062, 8067 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8062 and 8067 is 1.
GCF(8062,8067) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8062
2 | 8062 |
29 | 4031 |
139 | 139 |
1 |
Prime factors of 8062 are 2,29,139. Prime factorization of 8062 in exponential form is:
8062 = 21×291×1391
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
∴ So by taking common prime factors GCF of 8062 and 8067 is 1
Factors of 8062
List of positive integer factors of 8062 that divides 8062 without a remainder.
1,2,29,58,139,278,4031,8062
Factors of 8067
List of positive integer factors of 8067 that divides 8067 without a remainder.
1,3,2689,8067
Greatest Common Factor
We found the factors and prime factorization of 8062 and 8067. The biggest common factor number is the GCF number.
So the greatest common factor 8062 and 8067 is 1.
Also check out the Least Common Multiple of 8062 and 8067
(i) The GCF of 8062 and 8067 is associative
GCF of 8062 and 8067 = GCF of 8067 and 8062
1. What is the GCF of 8062 and 8067?
Answer: GCF of 8062 and 8067 is 1.
2. What are the Factors of 8062?
Answer: Factors of 8062 are 1, 2, 29, 58, 139, 278, 4031, 8062. There are 8 integers that are factors of 8062. The greatest factor of 8062 is 8062.
3. 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.
4. How to Find the GCF of 8062 and 8067?
Answer:
Greatest Common Factor of 8062 and 8067 = 1
Step 1: Find the prime factorization of 8062
8062 = 2 x 29 x 139
Step 2: Find the prime factorization of 8067
8067 = 3 x 2689
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 8062 and 8067 is 1