Greatest Common Factor of 9432 and 9436

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 9432, 9436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9432 and 9436 is 4.

GCF(9432,9436) = 4

GCF of 9432 and 9436

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

GCF of:
and

Greatest Common Factor of 9432 and 9436

GCF of 9432 and 9436 is 4

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

Prime Factorization of 9436


2 9436
2 4718
7 2359
337 337
1

Prime factors of 9436 are 2,7,337. Prime factorization of 9436 in exponential form is:

9436 = 22×71×3371

∴ So by taking common prime factors GCF of 9432 and 9436 is 4

Greatest Common Factor of 9432 and 9436 by matching factors method

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

Factors of 9436

List of positive integer factors of 9436 that divides 9436 without a remainder.

1,2,4,7,14,28,337,674,1348,2359,4718,9436

Greatest Common Factor

We found the factors and prime factorization of 9432 and 9436. The biggest common factor number is the GCF number.
So the greatest common factor 9432 and 9436 is 4.

Also check out the Least Common Multiple of 9432 and 9436

Properties of GCF 9432 and 9436

(i) The GCF of 9432 and 9436 is associative

GCF of 9432 and 9436 = GCF of 9436 and 9432

Related Greatest Common Factor of 9432

Related Greatest Common Factor of 9436

Frequently Asked Questions on GCF of 9432 and 9436

1. What is the GCF of 9432 and 9436?

Answer: GCF of 9432 and 9436 is 4.

2. 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.

3. What are the Factors of 9436?

Answer: Factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436. There are 12 integers that are factors of 9436. The greatest factor of 9436 is 9436.

4. How to Find the GCF of 9432 and 9436?

Answer:

Greatest Common Factor of 9432 and 9436 = 4

Step 1: Find the prime factorization of 9432

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

Step 2: Find the prime factorization of 9436

9436 = 2 x 2 x 7 x 337

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 9432 and 9436 is 4