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 8343, 8348 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8343 and 8348 is 1.
GCF(8343,8348) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8343
3 | 8343 |
3 | 2781 |
3 | 927 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 8343 are 3,103. Prime factorization of 8343 in exponential form is:
8343 = 34×1031
Prime Factorization of 8348
2 | 8348 |
2 | 4174 |
2087 | 2087 |
1 |
Prime factors of 8348 are 2,2087. Prime factorization of 8348 in exponential form is:
8348 = 22×20871
∴ So by taking common prime factors GCF of 8343 and 8348 is 1
Factors of 8343
List of positive integer factors of 8343 that divides 8343 without a remainder.
1,3,9,27,81,103,309,927,2781,8343
Factors of 8348
List of positive integer factors of 8348 that divides 8348 without a remainder.
1,2,4,2087,4174,8348
Greatest Common Factor
We found the factors and prime factorization of 8343 and 8348. The biggest common factor number is the GCF number.
So the greatest common factor 8343 and 8348 is 1.
Also check out the Least Common Multiple of 8343 and 8348
(i) The GCF of 8343 and 8348 is associative
GCF of 8343 and 8348 = GCF of 8348 and 8343
1. What is the GCF of 8343 and 8348?
Answer: GCF of 8343 and 8348 is 1.
2. What are the Factors of 8343?
Answer: Factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343. There are 10 integers that are factors of 8343. The greatest factor of 8343 is 8343.
3. What are the Factors of 8348?
Answer: Factors of 8348 are 1, 2, 4, 2087, 4174, 8348. There are 6 integers that are factors of 8348. The greatest factor of 8348 is 8348.
4. How to Find the GCF of 8343 and 8348?
Answer:
Greatest Common Factor of 8343 and 8348 = 1
Step 1: Find the prime factorization of 8343
8343 = 3 x 3 x 3 x 3 x 103
Step 2: Find the prime factorization of 8348
8348 = 2 x 2 x 2087
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 8343 and 8348 is 1