Greatest Common Factor of 9432 and 9440

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, 9440 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9432 and 9440 is 8.

GCF(9432,9440) = 8

GCF of 9432 and 9440

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

GCF of:
and

Greatest Common Factor of 9432 and 9440

GCF of 9432 and 9440 is 8

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 9440


2 9440
2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 9440 are 2,5,59. Prime factorization of 9440 in exponential form is:

9440 = 25×51×591

∴ So by taking common prime factors GCF of 9432 and 9440 is 8

Greatest Common Factor of 9432 and 9440 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 9440

List of positive integer factors of 9440 that divides 9440 without a remainder.

1,2,4,5,8,10,16,20,32,40,59,80,118,160,236,295,472,590,944,1180,1888,2360,4720,9440

Greatest Common Factor

We found the factors and prime factorization of 9432 and 9440. The biggest common factor number is the GCF number.
So the greatest common factor 9432 and 9440 is 8.

Also check out the Least Common Multiple of 9432 and 9440

Properties of GCF 9432 and 9440

(i) The GCF of 9432 and 9440 is associative

GCF of 9432 and 9440 = GCF of 9440 and 9432

Related Greatest Common Factor of 9432

Related Greatest Common Factor of 9440

Frequently Asked Questions on GCF of 9432 and 9440

1. What is the GCF of 9432 and 9440?

Answer: GCF of 9432 and 9440 is 8.

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 9440?

Answer: Factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440. There are 24 integers that are factors of 9440. The greatest factor of 9440 is 9440.

4. How to Find the GCF of 9432 and 9440?

Answer:

Greatest Common Factor of 9432 and 9440 = 8

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 9440

9440 = 2 x 2 x 2 x 2 x 2 x 5 x 59

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9432 and 9440 is 8