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 9422, 9430 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9422 and 9430 is 2.
GCF(9422,9430) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9422
2 | 9422 |
7 | 4711 |
673 | 673 |
1 |
Prime factors of 9422 are 2,7,673. Prime factorization of 9422 in exponential form is:
9422 = 21×71×6731
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
∴ So by taking common prime factors GCF of 9422 and 9430 is 2
Factors of 9422
List of positive integer factors of 9422 that divides 9422 without a remainder.
1,2,7,14,673,1346,4711,9422
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
Greatest Common Factor
We found the factors and prime factorization of 9422 and 9430. The biggest common factor number is the GCF number.
So the greatest common factor 9422 and 9430 is 2.
Also check out the Least Common Multiple of 9422 and 9430
(i) The GCF of 9422 and 9430 is associative
GCF of 9422 and 9430 = GCF of 9430 and 9422
1. What is the GCF of 9422 and 9430?
Answer: GCF of 9422 and 9430 is 2.
2. What are the Factors of 9422?
Answer: Factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422. There are 8 integers that are factors of 9422. The greatest factor of 9422 is 9422.
3. 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.
4. How to Find the GCF of 9422 and 9430?
Answer:
Greatest Common Factor of 9422 and 9430 = 2
Step 1: Find the prime factorization of 9422
9422 = 2 x 7 x 673
Step 2: Find the prime factorization of 9430
9430 = 2 x 5 x 23 x 41
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 9422 and 9430 is 2