Greatest Common Factor of 9424 and 9428

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, 9428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9424 and 9428 is 4.

GCF(9424,9428) = 4

GCF of 9424 and 9428

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

GCF of:
and

Greatest Common Factor of 9424 and 9428

GCF of 9424 and 9428 is 4

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 9428


2 9428
2 4714
2357 2357
1

Prime factors of 9428 are 2,2357. Prime factorization of 9428 in exponential form is:

9428 = 22×23571

∴ So by taking common prime factors GCF of 9424 and 9428 is 4

Greatest Common Factor of 9424 and 9428 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 9428

List of positive integer factors of 9428 that divides 9428 without a remainder.

1,2,4,2357,4714,9428

Greatest Common Factor

We found the factors and prime factorization of 9424 and 9428. The biggest common factor number is the GCF number.
So the greatest common factor 9424 and 9428 is 4.

Also check out the Least Common Multiple of 9424 and 9428

Properties of GCF 9424 and 9428

(i) The GCF of 9424 and 9428 is associative

GCF of 9424 and 9428 = GCF of 9428 and 9424

Related Greatest Common Factor of 9424

Related Greatest Common Factor of 9428

Frequently Asked Questions on GCF of 9424 and 9428

1. What is the GCF of 9424 and 9428?

Answer: GCF of 9424 and 9428 is 4.

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 9428?

Answer: Factors of 9428 are 1, 2, 4, 2357, 4714, 9428. There are 6 integers that are factors of 9428. The greatest factor of 9428 is 9428.

4. How to Find the GCF of 9424 and 9428?

Answer:

Greatest Common Factor of 9424 and 9428 = 4

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 9428

9428 = 2 x 2 x 2357

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9424 and 9428 is 4