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 9434, 9435 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9434 and 9435 is 1.
GCF(9434,9435) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9434
2 | 9434 |
53 | 4717 |
89 | 89 |
1 |
Prime factors of 9434 are 2,53,89. Prime factorization of 9434 in exponential form is:
9434 = 21×531×891
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 9434 and 9435 is 1
Factors of 9434
List of positive integer factors of 9434 that divides 9434 without a remainder.
1,2,53,89,106,178,4717,9434
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 9434 and 9435. The biggest common factor number is the GCF number.
So the greatest common factor 9434 and 9435 is 1.
Also check out the Least Common Multiple of 9434 and 9435
(i) The GCF of 9434 and 9435 is associative
GCF of 9434 and 9435 = GCF of 9435 and 9434
1. What is the GCF of 9434 and 9435?
Answer: GCF of 9434 and 9435 is 1.
2. What are the Factors of 9434?
Answer: Factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434. There are 8 integers that are factors of 9434. The greatest factor of 9434 is 9434.
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 9434 and 9435?
Answer:
Greatest Common Factor of 9434 and 9435 = 1
Step 1: Find the prime factorization of 9434
9434 = 2 x 53 x 89
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 = = 1
Step 4: Therefore, the greatest common factor of 9434 and 9435 is 1