Greatest Common Factor of 9425 and 9430

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 9425, 9430 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9425 and 9430 is 5.

GCF(9425,9430) = 5

GCF of 9425 and 9430

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9425 and 9430

GCF of 9425 and 9430 is 5

Prime Factorization of 9425


5 9425
5 1885
13 377
29 29
1

Prime factors of 9425 are 5,13,29. Prime factorization of 9425 in exponential form is:

9425 = 52×131×291

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 9425 and 9430 is 5

Greatest Common Factor of 9425 and 9430 by matching factors method

Factors of 9425

List of positive integer factors of 9425 that divides 9425 without a remainder.

1,5,13,25,29,65,145,325,377,725,1885,9425

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 9425 and 9430. The biggest common factor number is the GCF number.
So the greatest common factor 9425 and 9430 is 5.

Also check out the Least Common Multiple of 9425 and 9430

Properties of GCF 9425 and 9430

(i) The GCF of 9425 and 9430 is associative

GCF of 9425 and 9430 = GCF of 9430 and 9425

Related Greatest Common Factor of 9425

Related Greatest Common Factor of 9430

Frequently Asked Questions on GCF of 9425 and 9430

1. What is the GCF of 9425 and 9430?

Answer: GCF of 9425 and 9430 is 5.

2. What are the Factors of 9425?

Answer: Factors of 9425 are 1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425. There are 12 integers that are factors of 9425. The greatest factor of 9425 is 9425.

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 9425 and 9430?

Answer:

Greatest Common Factor of 9425 and 9430 = 5

Step 1: Find the prime factorization of 9425

9425 = 5 x 5 x 13 x 29

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 = 5

Step 4: Therefore, the greatest common factor of 9425 and 9430 is 5