Greatest Common Factor of 9429 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 9429, 9432 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9429 and 9432 is 3.

GCF(9429,9432) = 3

GCF of 9429 and 9432

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

GCF of:
and

Greatest Common Factor of 9429 and 9432

GCF of 9429 and 9432 is 3

Prime Factorization of 9429


3 9429
7 3143
449 449
1

Prime factors of 9429 are 3,7,449. Prime factorization of 9429 in exponential form is:

9429 = 31×71×4491

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 9429 and 9432 is 3

Greatest Common Factor of 9429 and 9432 by matching factors method

Factors of 9429

List of positive integer factors of 9429 that divides 9429 without a remainder.

1,3,7,21,449,1347,3143,9429

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 9429 and 9432. The biggest common factor number is the GCF number.
So the greatest common factor 9429 and 9432 is 3.

Also check out the Least Common Multiple of 9429 and 9432

Properties of GCF 9429 and 9432

(i) The GCF of 9429 and 9432 is associative

GCF of 9429 and 9432 = GCF of 9432 and 9429

Related Greatest Common Factor of 9429

Related Greatest Common Factor of 9432

Frequently Asked Questions on GCF of 9429 and 9432

1. What is the GCF of 9429 and 9432?

Answer: GCF of 9429 and 9432 is 3.

2. What are the Factors of 9429?

Answer: Factors of 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429. There are 8 integers that are factors of 9429. The greatest factor of 9429 is 9429.

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 9429 and 9432?

Answer:

Greatest Common Factor of 9429 and 9432 = 3

Step 1: Find the prime factorization of 9429

9429 = 3 x 7 x 449

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 = 3

Step 4: Therefore, the greatest common factor of 9429 and 9432 is 3