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 9340, 9346 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9340 and 9346 is 2.
GCF(9340,9346) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9340
2 | 9340 |
2 | 4670 |
5 | 2335 |
467 | 467 |
1 |
Prime factors of 9340 are 2,5,467. Prime factorization of 9340 in exponential form is:
9340 = 22×51×4671
Prime Factorization of 9346
2 | 9346 |
4673 | 4673 |
1 |
Prime factors of 9346 are 2,4673. Prime factorization of 9346 in exponential form is:
9346 = 21×46731
∴ So by taking common prime factors GCF of 9340 and 9346 is 2
Factors of 9340
List of positive integer factors of 9340 that divides 9340 without a remainder.
1,2,4,5,10,20,467,934,1868,2335,4670,9340
Factors of 9346
List of positive integer factors of 9346 that divides 9346 without a remainder.
1,2,4673,9346
Greatest Common Factor
We found the factors and prime factorization of 9340 and 9346. The biggest common factor number is the GCF number.
So the greatest common factor 9340 and 9346 is 2.
Also check out the Least Common Multiple of 9340 and 9346
(i) The GCF of 9340 and 9346 is associative
GCF of 9340 and 9346 = GCF of 9346 and 9340
1. What is the GCF of 9340 and 9346?
Answer: GCF of 9340 and 9346 is 2.
2. What are the Factors of 9340?
Answer: Factors of 9340 are 1, 2, 4, 5, 10, 20, 467, 934, 1868, 2335, 4670, 9340. There are 12 integers that are factors of 9340. The greatest factor of 9340 is 9340.
3. What are the Factors of 9346?
Answer: Factors of 9346 are 1, 2, 4673, 9346. There are 4 integers that are factors of 9346. The greatest factor of 9346 is 9346.
4. How to Find the GCF of 9340 and 9346?
Answer:
Greatest Common Factor of 9340 and 9346 = 2
Step 1: Find the prime factorization of 9340
9340 = 2 x 2 x 5 x 467
Step 2: Find the prime factorization of 9346
9346 = 2 x 4673
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9340 and 9346 is 2