Greatest Common Factor of 9430 and 9438

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, 9438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9430 and 9438 is 2.

GCF(9430,9438) = 2

GCF of 9430 and 9438

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

GCF of:
and

Greatest Common Factor of 9430 and 9438

GCF of 9430 and 9438 is 2

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 9438


2 9438
3 4719
11 1573
11 143
13 13
1

Prime factors of 9438 are 2,3,11,13. Prime factorization of 9438 in exponential form is:

9438 = 21×31×112×131

∴ So by taking common prime factors GCF of 9430 and 9438 is 2

Greatest Common Factor of 9430 and 9438 by matching factors method

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 9438

List of positive integer factors of 9438 that divides 9438 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438

Greatest Common Factor

We found the factors and prime factorization of 9430 and 9438. The biggest common factor number is the GCF number.
So the greatest common factor 9430 and 9438 is 2.

Also check out the Least Common Multiple of 9430 and 9438

Properties of GCF 9430 and 9438

(i) The GCF of 9430 and 9438 is associative

GCF of 9430 and 9438 = GCF of 9438 and 9430

Related Greatest Common Factor of 9430

Related Greatest Common Factor of 9438

Frequently Asked Questions on GCF of 9430 and 9438

1. What is the GCF of 9430 and 9438?

Answer: GCF of 9430 and 9438 is 2.

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 9438?

Answer: Factors of 9438 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438. There are 24 integers that are factors of 9438. The greatest factor of 9438 is 9438.

4. How to Find the GCF of 9430 and 9438?

Answer:

Greatest Common Factor of 9430 and 9438 = 2

Step 1: Find the prime factorization of 9430

9430 = 2 x 5 x 23 x 41

Step 2: Find the prime factorization of 9438

9438 = 2 x 3 x 11 x 11 x 13

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 9430 and 9438 is 2