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, 8019 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8015 and 8019 is 1.
GCF(8015,8019) = 1
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 8019
3 | 8019 |
3 | 2673 |
3 | 891 |
3 | 297 |
3 | 99 |
3 | 33 |
11 | 11 |
1 |
Prime factors of 8019 are 3,11. Prime factorization of 8019 in exponential form is:
8019 = 36×111
∴ So by taking common prime factors GCF of 8015 and 8019 is 1
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 8019
List of positive integer factors of 8019 that divides 8019 without a remainder.
1,3,9,11,27,33,81,99,243,297,729,891,2673,8019
Greatest Common Factor
We found the factors and prime factorization of 8015 and 8019. The biggest common factor number is the GCF number.
So the greatest common factor 8015 and 8019 is 1.
Also check out the Least Common Multiple of 8015 and 8019
(i) The GCF of 8015 and 8019 is associative
GCF of 8015 and 8019 = GCF of 8019 and 8015
1. What is the GCF of 8015 and 8019?
Answer: GCF of 8015 and 8019 is 1.
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 8019?
Answer: Factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019. There are 14 integers that are factors of 8019. The greatest factor of 8019 is 8019.
4. How to Find the GCF of 8015 and 8019?
Answer:
Greatest Common Factor of 8015 and 8019 = 1
Step 1: Find the prime factorization of 8015
8015 = 5 x 7 x 229
Step 2: Find the prime factorization of 8019
8019 = 3 x 3 x 3 x 3 x 3 x 3 x 11
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 8015 and 8019 is 1