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 8205, 8207 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8205 and 8207 is 1.
GCF(8205,8207) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8205
3 | 8205 |
5 | 2735 |
547 | 547 |
1 |
Prime factors of 8205 are 3,5,547. Prime factorization of 8205 in exponential form is:
8205 = 31×51×5471
Prime Factorization of 8207
29 | 8207 |
283 | 283 |
1 |
Prime factors of 8207 are 29,283. Prime factorization of 8207 in exponential form is:
8207 = 291×2831
∴ So by taking common prime factors GCF of 8205 and 8207 is 1
Factors of 8205
List of positive integer factors of 8205 that divides 8205 without a remainder.
1,3,5,15,547,1641,2735,8205
Factors of 8207
List of positive integer factors of 8207 that divides 8207 without a remainder.
1,29,283,8207
Greatest Common Factor
We found the factors and prime factorization of 8205 and 8207. The biggest common factor number is the GCF number.
So the greatest common factor 8205 and 8207 is 1.
Also check out the Least Common Multiple of 8205 and 8207
(i) The GCF of 8205 and 8207 is associative
GCF of 8205 and 8207 = GCF of 8207 and 8205
1. What is the GCF of 8205 and 8207?
Answer: GCF of 8205 and 8207 is 1.
2. What are the Factors of 8205?
Answer: Factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205. There are 8 integers that are factors of 8205. The greatest factor of 8205 is 8205.
3. What are the Factors of 8207?
Answer: Factors of 8207 are 1, 29, 283, 8207. There are 4 integers that are factors of 8207. The greatest factor of 8207 is 8207.
4. How to Find the GCF of 8205 and 8207?
Answer:
Greatest Common Factor of 8205 and 8207 = 1
Step 1: Find the prime factorization of 8205
8205 = 3 x 5 x 547
Step 2: Find the prime factorization of 8207
8207 = 29 x 283
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 8205 and 8207 is 1