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 8395, 8403 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8395 and 8403 is 1.
GCF(8395,8403) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8395
5 | 8395 |
23 | 1679 |
73 | 73 |
1 |
Prime factors of 8395 are 5,23,73. Prime factorization of 8395 in exponential form is:
8395 = 51×231×731
Prime Factorization of 8403
3 | 8403 |
2801 | 2801 |
1 |
Prime factors of 8403 are 3,2801. Prime factorization of 8403 in exponential form is:
8403 = 31×28011
∴ So by taking common prime factors GCF of 8395 and 8403 is 1
Factors of 8395
List of positive integer factors of 8395 that divides 8395 without a remainder.
1,5,23,73,115,365,1679,8395
Factors of 8403
List of positive integer factors of 8403 that divides 8403 without a remainder.
1,3,2801,8403
Greatest Common Factor
We found the factors and prime factorization of 8395 and 8403. The biggest common factor number is the GCF number.
So the greatest common factor 8395 and 8403 is 1.
Also check out the Least Common Multiple of 8395 and 8403
(i) The GCF of 8395 and 8403 is associative
GCF of 8395 and 8403 = GCF of 8403 and 8395
1. What is the GCF of 8395 and 8403?
Answer: GCF of 8395 and 8403 is 1.
2. What are the Factors of 8395?
Answer: Factors of 8395 are 1, 5, 23, 73, 115, 365, 1679, 8395. There are 8 integers that are factors of 8395. The greatest factor of 8395 is 8395.
3. What are the Factors of 8403?
Answer: Factors of 8403 are 1, 3, 2801, 8403. There are 4 integers that are factors of 8403. The greatest factor of 8403 is 8403.
4. How to Find the GCF of 8395 and 8403?
Answer:
Greatest Common Factor of 8395 and 8403 = 1
Step 1: Find the prime factorization of 8395
8395 = 5 x 23 x 73
Step 2: Find the prime factorization of 8403
8403 = 3 x 2801
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 8395 and 8403 is 1