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 8015, 8020 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8015 and 8020 is 5.
GCF(8015,8020) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8015
5 | 8015 |
7 | 1603 |
229 | 229 |
1 |
Prime factors of 8015 are 5,7,229. Prime factorization of 8015 in exponential form is:
8015 = 51×71×2291
Prime Factorization of 8020
2 | 8020 |
2 | 4010 |
5 | 2005 |
401 | 401 |
1 |
Prime factors of 8020 are 2,5,401. Prime factorization of 8020 in exponential form is:
8020 = 22×51×4011
∴ So by taking common prime factors GCF of 8015 and 8020 is 5
Factors of 8015
List of positive integer factors of 8015 that divides 8015 without a remainder.
1,5,7,35,229,1145,1603,8015
Factors of 8020
List of positive integer factors of 8020 that divides 8020 without a remainder.
1,2,4,5,10,20,401,802,1604,2005,4010,8020
Greatest Common Factor
We found the factors and prime factorization of 8015 and 8020. The biggest common factor number is the GCF number.
So the greatest common factor 8015 and 8020 is 5.
Also check out the Least Common Multiple of 8015 and 8020
(i) The GCF of 8015 and 8020 is associative
GCF of 8015 and 8020 = GCF of 8020 and 8015
1. What is the GCF of 8015 and 8020?
Answer: GCF of 8015 and 8020 is 5.
2. What are the Factors of 8015?
Answer: Factors of 8015 are 1, 5, 7, 35, 229, 1145, 1603, 8015. There are 8 integers that are factors of 8015. The greatest factor of 8015 is 8015.
3. What are the Factors of 8020?
Answer: Factors of 8020 are 1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020. There are 12 integers that are factors of 8020. The greatest factor of 8020 is 8020.
4. How to Find the GCF of 8015 and 8020?
Answer:
Greatest Common Factor of 8015 and 8020 = 5
Step 1: Find the prime factorization of 8015
8015 = 5 x 7 x 229
Step 2: Find the prime factorization of 8020
8020 = 2 x 2 x 5 x 401
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 8015 and 8020 is 5