Greatest Common Factor of 9396 and 9400

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 9396, 9400 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9396 and 9400 is 4.

GCF(9396,9400) = 4

GCF of 9396 and 9400

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

GCF of:
and

Greatest Common Factor of 9396 and 9400

GCF of 9396 and 9400 is 4

Prime Factorization of 9396


2 9396
2 4698
3 2349
3 783
3 261
3 87
29 29
1

Prime factors of 9396 are 2,3,29. Prime factorization of 9396 in exponential form is:

9396 = 22×34×291

Prime Factorization of 9400


2 9400
2 4700
2 2350
5 1175
5 235
47 47
1

Prime factors of 9400 are 2,5,47. Prime factorization of 9400 in exponential form is:

9400 = 23×52×471

∴ So by taking common prime factors GCF of 9396 and 9400 is 4

Greatest Common Factor of 9396 and 9400 by matching factors method

Factors of 9396

List of positive integer factors of 9396 that divides 9396 without a remainder.

1,2,3,4,6,9,12,18,27,29,36,54,58,81,87,108,116,162,174,261,324,348,522,783,1044,1566,2349,3132,4698,9396

Factors of 9400

List of positive integer factors of 9400 that divides 9400 without a remainder.

1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400

Greatest Common Factor

We found the factors and prime factorization of 9396 and 9400. The biggest common factor number is the GCF number.
So the greatest common factor 9396 and 9400 is 4.

Also check out the Least Common Multiple of 9396 and 9400

Properties of GCF 9396 and 9400

(i) The GCF of 9396 and 9400 is associative

GCF of 9396 and 9400 = GCF of 9400 and 9396

Related Greatest Common Factor of 9396

Related Greatest Common Factor of 9400

Frequently Asked Questions on GCF of 9396 and 9400

1. What is the GCF of 9396 and 9400?

Answer: GCF of 9396 and 9400 is 4.

2. What are the Factors of 9396?

Answer: Factors of 9396 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 261, 324, 348, 522, 783, 1044, 1566, 2349, 3132, 4698, 9396. There are 30 integers that are factors of 9396. The greatest factor of 9396 is 9396.

3. What are the Factors of 9400?

Answer: Factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400. There are 24 integers that are factors of 9400. The greatest factor of 9400 is 9400.

4. How to Find the GCF of 9396 and 9400?

Answer:

Greatest Common Factor of 9396 and 9400 = 4

Step 1: Find the prime factorization of 9396

9396 = 2 x 2 x 3 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 9400

9400 = 2 x 2 x 2 x 5 x 5 x 47

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 9396 and 9400 is 4