Greatest Common Factor of 9340 and 9344

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 9340, 9344 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9340 and 9344 is 4.

GCF(9340,9344) = 4

GCF of 9340 and 9344

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

GCF of:
and

Greatest Common Factor of 9340 and 9344

GCF of 9340 and 9344 is 4

Prime Factorization of 9340


2 9340
2 4670
5 2335
467 467
1

Prime factors of 9340 are 2,5,467. Prime factorization of 9340 in exponential form is:

9340 = 22×51×4671

Prime Factorization of 9344


2 9344
2 4672
2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 9344 are 2,73. Prime factorization of 9344 in exponential form is:

9344 = 27×731

∴ So by taking common prime factors GCF of 9340 and 9344 is 4

Greatest Common Factor of 9340 and 9344 by matching factors method

Factors of 9340

List of positive integer factors of 9340 that divides 9340 without a remainder.

1,2,4,5,10,20,467,934,1868,2335,4670,9340

Factors of 9344

List of positive integer factors of 9344 that divides 9344 without a remainder.

1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344

Greatest Common Factor

We found the factors and prime factorization of 9340 and 9344. The biggest common factor number is the GCF number.
So the greatest common factor 9340 and 9344 is 4.

Also check out the Least Common Multiple of 9340 and 9344

Properties of GCF 9340 and 9344

(i) The GCF of 9340 and 9344 is associative

GCF of 9340 and 9344 = GCF of 9344 and 9340

Related Greatest Common Factor of 9340

Related Greatest Common Factor of 9344

Frequently Asked Questions on GCF of 9340 and 9344

1. What is the GCF of 9340 and 9344?

Answer: GCF of 9340 and 9344 is 4.

2. What are the Factors of 9340?

Answer: Factors of 9340 are 1, 2, 4, 5, 10, 20, 467, 934, 1868, 2335, 4670, 9340. There are 12 integers that are factors of 9340. The greatest factor of 9340 is 9340.

3. What are the Factors of 9344?

Answer: Factors of 9344 are 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344. There are 16 integers that are factors of 9344. The greatest factor of 9344 is 9344.

4. How to Find the GCF of 9340 and 9344?

Answer:

Greatest Common Factor of 9340 and 9344 = 4

Step 1: Find the prime factorization of 9340

9340 = 2 x 2 x 5 x 467

Step 2: Find the prime factorization of 9344

9344 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 73

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 9340 and 9344 is 4