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 9430, 9435 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9430 and 9435 is 5.
GCF(9430,9435) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9430
2 | 9430 |
5 | 4715 |
23 | 943 |
41 | 41 |
1 |
Prime factors of 9430 are 2,5,23,41. Prime factorization of 9430 in exponential form is:
9430 = 21×51×231×411
Prime Factorization of 9435
3 | 9435 |
5 | 3145 |
17 | 629 |
37 | 37 |
1 |
Prime factors of 9435 are 3,5,17,37. Prime factorization of 9435 in exponential form is:
9435 = 31×51×171×371
∴ So by taking common prime factors GCF of 9430 and 9435 is 5
Factors of 9430
List of positive integer factors of 9430 that divides 9430 without a remainder.
1,2,5,10,23,41,46,82,115,205,230,410,943,1886,4715,9430
Factors of 9435
List of positive integer factors of 9435 that divides 9435 without a remainder.
1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435
Greatest Common Factor
We found the factors and prime factorization of 9430 and 9435. The biggest common factor number is the GCF number.
So the greatest common factor 9430 and 9435 is 5.
Also check out the Least Common Multiple of 9430 and 9435
(i) The GCF of 9430 and 9435 is associative
GCF of 9430 and 9435 = GCF of 9435 and 9430
1. What is the GCF of 9430 and 9435?
Answer: GCF of 9430 and 9435 is 5.
2. What are the Factors of 9430?
Answer: Factors of 9430 are 1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430. There are 16 integers that are factors of 9430. The greatest factor of 9430 is 9430.
3. What are the Factors of 9435?
Answer: Factors of 9435 are 1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435. There are 16 integers that are factors of 9435. The greatest factor of 9435 is 9435.
4. How to Find the GCF of 9430 and 9435?
Answer:
Greatest Common Factor of 9430 and 9435 = 5
Step 1: Find the prime factorization of 9430
9430 = 2 x 5 x 23 x 41
Step 2: Find the prime factorization of 9435
9435 = 3 x 5 x 17 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 9430 and 9435 is 5