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 9404, 9410 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9404 and 9410 is 2.
GCF(9404,9410) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9404
2 | 9404 |
2 | 4702 |
2351 | 2351 |
1 |
Prime factors of 9404 are 2,2351. Prime factorization of 9404 in exponential form is:
9404 = 22×23511
Prime Factorization of 9410
2 | 9410 |
5 | 4705 |
941 | 941 |
1 |
Prime factors of 9410 are 2,5,941. Prime factorization of 9410 in exponential form is:
9410 = 21×51×9411
∴ So by taking common prime factors GCF of 9404 and 9410 is 2
Factors of 9404
List of positive integer factors of 9404 that divides 9404 without a remainder.
1,2,4,2351,4702,9404
Factors of 9410
List of positive integer factors of 9410 that divides 9410 without a remainder.
1,2,5,10,941,1882,4705,9410
Greatest Common Factor
We found the factors and prime factorization of 9404 and 9410. The biggest common factor number is the GCF number.
So the greatest common factor 9404 and 9410 is 2.
Also check out the Least Common Multiple of 9404 and 9410
(i) The GCF of 9404 and 9410 is associative
GCF of 9404 and 9410 = GCF of 9410 and 9404
1. What is the GCF of 9404 and 9410?
Answer: GCF of 9404 and 9410 is 2.
2. What are the Factors of 9404?
Answer: Factors of 9404 are 1, 2, 4, 2351, 4702, 9404. There are 6 integers that are factors of 9404. The greatest factor of 9404 is 9404.
3. What are the Factors of 9410?
Answer: Factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410. There are 8 integers that are factors of 9410. The greatest factor of 9410 is 9410.
4. How to Find the GCF of 9404 and 9410?
Answer:
Greatest Common Factor of 9404 and 9410 = 2
Step 1: Find the prime factorization of 9404
9404 = 2 x 2 x 2351
Step 2: Find the prime factorization of 9410
9410 = 2 x 5 x 941
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 9404 and 9410 is 2