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, 8066 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8062 and 8066 is 2.
GCF(8062,8066) = 2
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 8066
2 | 8066 |
37 | 4033 |
109 | 109 |
1 |
Prime factors of 8066 are 2,37,109. Prime factorization of 8066 in exponential form is:
8066 = 21×371×1091
∴ So by taking common prime factors GCF of 8062 and 8066 is 2
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 8066
List of positive integer factors of 8066 that divides 8066 without a remainder.
1,2,37,74,109,218,4033,8066
Greatest Common Factor
We found the factors and prime factorization of 8062 and 8066. The biggest common factor number is the GCF number.
So the greatest common factor 8062 and 8066 is 2.
Also check out the Least Common Multiple of 8062 and 8066
(i) The GCF of 8062 and 8066 is associative
GCF of 8062 and 8066 = GCF of 8066 and 8062
1. What is the GCF of 8062 and 8066?
Answer: GCF of 8062 and 8066 is 2.
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 8066?
Answer: Factors of 8066 are 1, 2, 37, 74, 109, 218, 4033, 8066. There are 8 integers that are factors of 8066. The greatest factor of 8066 is 8066.
4. How to Find the GCF of 8062 and 8066?
Answer:
Greatest Common Factor of 8062 and 8066 = 2
Step 1: Find the prime factorization of 8062
8062 = 2 x 29 x 139
Step 2: Find the prime factorization of 8066
8066 = 2 x 37 x 109
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 8062 and 8066 is 2