Greatest Common Factor of 9424 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 9424, 9430 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9424 and 9430 is 2.

GCF(9424,9430) = 2

GCF of 9424 and 9430

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

GCF of:
and

Greatest Common Factor of 9424 and 9430

GCF of 9424 and 9430 is 2

Prime Factorization of 9424


2 9424
2 4712
2 2356
2 1178
19 589
31 31
1

Prime factors of 9424 are 2,19,31. Prime factorization of 9424 in exponential form is:

9424 = 24×191×311

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 9424 and 9430 is 2

Greatest Common Factor of 9424 and 9430 by matching factors method

Factors of 9424

List of positive integer factors of 9424 that divides 9424 without a remainder.

1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424

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 9424 and 9430. The biggest common factor number is the GCF number.
So the greatest common factor 9424 and 9430 is 2.

Also check out the Least Common Multiple of 9424 and 9430

Properties of GCF 9424 and 9430

(i) The GCF of 9424 and 9430 is associative

GCF of 9424 and 9430 = GCF of 9430 and 9424

Related Greatest Common Factor of 9424

Related Greatest Common Factor of 9430

Frequently Asked Questions on GCF of 9424 and 9430

1. What is the GCF of 9424 and 9430?

Answer: GCF of 9424 and 9430 is 2.

2. What are the Factors of 9424?

Answer: Factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424. There are 20 integers that are factors of 9424. The greatest factor of 9424 is 9424.

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 9424 and 9430?

Answer:

Greatest Common Factor of 9424 and 9430 = 2

Step 1: Find the prime factorization of 9424

9424 = 2 x 2 x 2 x 2 x 19 x 31

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 9424 and 9430 is 2