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, 8023 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8015 and 8023 is 1.
GCF(8015,8023) = 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 8023
71 | 8023 |
113 | 113 |
1 |
Prime factors of 8023 are 71,113. Prime factorization of 8023 in exponential form is:
8023 = 711×1131
∴ So by taking common prime factors GCF of 8015 and 8023 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 8023
List of positive integer factors of 8023 that divides 8023 without a remainder.
1,71,113,8023
Greatest Common Factor
We found the factors and prime factorization of 8015 and 8023. The biggest common factor number is the GCF number.
So the greatest common factor 8015 and 8023 is 1.
Also check out the Least Common Multiple of 8015 and 8023
(i) The GCF of 8015 and 8023 is associative
GCF of 8015 and 8023 = GCF of 8023 and 8015
1. What is the GCF of 8015 and 8023?
Answer: GCF of 8015 and 8023 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 8023?
Answer: Factors of 8023 are 1, 71, 113, 8023. There are 4 integers that are factors of 8023. The greatest factor of 8023 is 8023.
4. How to Find the GCF of 8015 and 8023?
Answer:
Greatest Common Factor of 8015 and 8023 = 1
Step 1: Find the prime factorization of 8015
8015 = 5 x 7 x 229
Step 2: Find the prime factorization of 8023
8023 = 71 x 113
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 8023 is 1