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 9347, 9353 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9347 and 9353 is 1.
GCF(9347,9353) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9347
13 | 9347 |
719 | 719 |
1 |
Prime factors of 9347 are 13,719. Prime factorization of 9347 in exponential form is:
9347 = 131×7191
Prime Factorization of 9353
47 | 9353 |
199 | 199 |
1 |
Prime factors of 9353 are 47,199. Prime factorization of 9353 in exponential form is:
9353 = 471×1991
∴ So by taking common prime factors GCF of 9347 and 9353 is 1
Factors of 9347
List of positive integer factors of 9347 that divides 9347 without a remainder.
1,13,719,9347
Factors of 9353
List of positive integer factors of 9353 that divides 9353 without a remainder.
1,47,199,9353
Greatest Common Factor
We found the factors and prime factorization of 9347 and 9353. The biggest common factor number is the GCF number.
So the greatest common factor 9347 and 9353 is 1.
Also check out the Least Common Multiple of 9347 and 9353
(i) The GCF of 9347 and 9353 is associative
GCF of 9347 and 9353 = GCF of 9353 and 9347
1. What is the GCF of 9347 and 9353?
Answer: GCF of 9347 and 9353 is 1.
2. What are the Factors of 9347?
Answer: Factors of 9347 are 1, 13, 719, 9347. There are 4 integers that are factors of 9347. The greatest factor of 9347 is 9347.
3. What are the Factors of 9353?
Answer: Factors of 9353 are 1, 47, 199, 9353. There are 4 integers that are factors of 9353. The greatest factor of 9353 is 9353.
4. How to Find the GCF of 9347 and 9353?
Answer:
Greatest Common Factor of 9347 and 9353 = 1
Step 1: Find the prime factorization of 9347
9347 = 13 x 719
Step 2: Find the prime factorization of 9353
9353 = 47 x 199
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 9347 and 9353 is 1