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 8337, 8345 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8337 and 8345 is 1.
GCF(8337,8345) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8337
3 | 8337 |
7 | 2779 |
397 | 397 |
1 |
Prime factors of 8337 are 3,7,397. Prime factorization of 8337 in exponential form is:
8337 = 31×71×3971
Prime Factorization of 8345
5 | 8345 |
1669 | 1669 |
1 |
Prime factors of 8345 are 5,1669. Prime factorization of 8345 in exponential form is:
8345 = 51×16691
∴ So by taking common prime factors GCF of 8337 and 8345 is 1
Factors of 8337
List of positive integer factors of 8337 that divides 8337 without a remainder.
1,3,7,21,397,1191,2779,8337
Factors of 8345
List of positive integer factors of 8345 that divides 8345 without a remainder.
1,5,1669,8345
Greatest Common Factor
We found the factors and prime factorization of 8337 and 8345. The biggest common factor number is the GCF number.
So the greatest common factor 8337 and 8345 is 1.
Also check out the Least Common Multiple of 8337 and 8345
(i) The GCF of 8337 and 8345 is associative
GCF of 8337 and 8345 = GCF of 8345 and 8337
1. What is the GCF of 8337 and 8345?
Answer: GCF of 8337 and 8345 is 1.
2. What are the Factors of 8337?
Answer: Factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337. There are 8 integers that are factors of 8337. The greatest factor of 8337 is 8337.
3. What are the Factors of 8345?
Answer: Factors of 8345 are 1, 5, 1669, 8345. There are 4 integers that are factors of 8345. The greatest factor of 8345 is 8345.
4. How to Find the GCF of 8337 and 8345?
Answer:
Greatest Common Factor of 8337 and 8345 = 1
Step 1: Find the prime factorization of 8337
8337 = 3 x 7 x 397
Step 2: Find the prime factorization of 8345
8345 = 5 x 1669
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 8337 and 8345 is 1