Greatest Common Factor of 9344 and 9350

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 9344, 9350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9344 and 9350 is 2.

GCF(9344,9350) = 2

GCF of 9344 and 9350

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

GCF of:
and

Greatest Common Factor of 9344 and 9350

GCF of 9344 and 9350 is 2

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

Prime Factorization of 9350


2 9350
5 4675
5 935
11 187
17 17
1

Prime factors of 9350 are 2,5,11,17. Prime factorization of 9350 in exponential form is:

9350 = 21×52×111×171

∴ So by taking common prime factors GCF of 9344 and 9350 is 2

Greatest Common Factor of 9344 and 9350 by matching factors method

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

Factors of 9350

List of positive integer factors of 9350 that divides 9350 without a remainder.

1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350

Greatest Common Factor

We found the factors and prime factorization of 9344 and 9350. The biggest common factor number is the GCF number.
So the greatest common factor 9344 and 9350 is 2.

Also check out the Least Common Multiple of 9344 and 9350

Properties of GCF 9344 and 9350

(i) The GCF of 9344 and 9350 is associative

GCF of 9344 and 9350 = GCF of 9350 and 9344

Related Greatest Common Factor of 9344

Related Greatest Common Factor of 9350

Frequently Asked Questions on GCF of 9344 and 9350

1. What is the GCF of 9344 and 9350?

Answer: GCF of 9344 and 9350 is 2.

2. 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.

3. What are the Factors of 9350?

Answer: Factors of 9350 are 1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 170, 187, 275, 374, 425, 550, 850, 935, 1870, 4675, 9350. There are 24 integers that are factors of 9350. The greatest factor of 9350 is 9350.

4. How to Find the GCF of 9344 and 9350?

Answer:

Greatest Common Factor of 9344 and 9350 = 2

Step 1: Find the prime factorization of 9344

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

Step 2: Find the prime factorization of 9350

9350 = 2 x 5 x 5 x 11 x 17

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9344 and 9350 is 2