Greatest Common Factor of 9428 and 9432

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 9428, 9432 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9428 and 9432 is 4.

GCF(9428,9432) = 4

GCF of 9428 and 9432

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

GCF of:
and

Greatest Common Factor of 9428 and 9432

GCF of 9428 and 9432 is 4

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

Prime Factorization of 9432


2 9432
2 4716
2 2358
3 1179
3 393
131 131
1

Prime factors of 9432 are 2,3,131. Prime factorization of 9432 in exponential form is:

9432 = 23×32×1311

∴ So by taking common prime factors GCF of 9428 and 9432 is 4

Greatest Common Factor of 9428 and 9432 by matching factors method

Factors of 9428

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

1,2,4,2357,4714,9428

Factors of 9432

List of positive integer factors of 9432 that divides 9432 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432

Greatest Common Factor

We found the factors and prime factorization of 9428 and 9432. The biggest common factor number is the GCF number.
So the greatest common factor 9428 and 9432 is 4.

Also check out the Least Common Multiple of 9428 and 9432

Properties of GCF 9428 and 9432

(i) The GCF of 9428 and 9432 is associative

GCF of 9428 and 9432 = GCF of 9432 and 9428

Related Greatest Common Factor of 9428

Related Greatest Common Factor of 9432

Frequently Asked Questions on GCF of 9428 and 9432

1. What is the GCF of 9428 and 9432?

Answer: GCF of 9428 and 9432 is 4.

2. 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.

3. What are the Factors of 9432?

Answer: Factors of 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432. There are 24 integers that are factors of 9432. The greatest factor of 9432 is 9432.

4. How to Find the GCF of 9428 and 9432?

Answer:

Greatest Common Factor of 9428 and 9432 = 4

Step 1: Find the prime factorization of 9428

9428 = 2 x 2 x 2357

Step 2: Find the prime factorization of 9432

9432 = 2 x 2 x 2 x 3 x 3 x 131

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 9428 and 9432 is 4