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 8060, 8066 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8060 and 8066 is 2.
GCF(8060,8066) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8060
2 | 8060 |
2 | 4030 |
5 | 2015 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 8060 are 2,5,13,31. Prime factorization of 8060 in exponential form is:
8060 = 22×51×131×311
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 8060 and 8066 is 2
Factors of 8060
List of positive integer factors of 8060 that divides 8060 without a remainder.
1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
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 8060 and 8066. The biggest common factor number is the GCF number.
So the greatest common factor 8060 and 8066 is 2.
Also check out the Least Common Multiple of 8060 and 8066
(i) The GCF of 8060 and 8066 is associative
GCF of 8060 and 8066 = GCF of 8066 and 8060
1. What is the GCF of 8060 and 8066?
Answer: GCF of 8060 and 8066 is 2.
2. What are the Factors of 8060?
Answer: Factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060. There are 24 integers that are factors of 8060. The greatest factor of 8060 is 8060.
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 8060 and 8066?
Answer:
Greatest Common Factor of 8060 and 8066 = 2
Step 1: Find the prime factorization of 8060
8060 = 2 x 2 x 5 x 13 x 31
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 8060 and 8066 is 2