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 12815, 12817 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 12815 and 12817 is 1.
GCF(12815,12817) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 12815
5 | 12815 |
11 | 2563 |
233 | 233 |
1 |
Prime factors of 12815 are 5,11,233. Prime factorization of 12815 in exponential form is:
12815 = 51×111×2331
Prime Factorization of 12817
7 | 12817 |
1831 | 1831 |
1 |
Prime factors of 12817 are 7,1831. Prime factorization of 12817 in exponential form is:
12817 = 71×18311
∴ So by taking common prime factors GCF of 12815 and 12817 is 1
Factors of 12815
List of positive integer factors of 12815 that divides 12815 without a remainder.
1,5,11,55,233,1165,2563,12815
Factors of 12817
List of positive integer factors of 12817 that divides 12817 without a remainder.
1,7,1831,12817
Greatest Common Factor
We found the factors and prime factorization of 12815 and 12817. The biggest common factor number is the GCF number.
So the greatest common factor 12815 and 12817 is 1.
Also check out the Least Common Multiple of 12815 and 12817
(i) The GCF of 12815 and 12817 is associative
GCF of 12815 and 12817 = GCF of 12817 and 12815
1. What is the GCF of 12815 and 12817?
Answer: GCF of 12815 and 12817 is 1.
2. What are the Factors of 12815?
Answer: Factors of 12815 are 1, 5, 11, 55, 233, 1165, 2563, 12815. There are 8 integers that are factors of 12815. The greatest factor of 12815 is 12815.
3. What are the Factors of 12817?
Answer: Factors of 12817 are 1, 7, 1831, 12817. There are 4 integers that are factors of 12817. The greatest factor of 12817 is 12817.
4. How to Find the GCF of 12815 and 12817?
Answer:
Greatest Common Factor of 12815 and 12817 = 1
Step 1: Find the prime factorization of 12815
12815 = 5 x 11 x 233
Step 2: Find the prime factorization of 12817
12817 = 7 x 1831
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 12815 and 12817 is 1