Greatest Common Factor of 9344 and 9352

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, 9352 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9344 and 9352 is 8.

GCF(9344,9352) = 8

GCF of 9344 and 9352

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

GCF of:
and

Greatest Common Factor of 9344 and 9352

GCF of 9344 and 9352 is 8

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 9352


2 9352
2 4676
2 2338
7 1169
167 167
1

Prime factors of 9352 are 2,7,167. Prime factorization of 9352 in exponential form is:

9352 = 23×71×1671

∴ So by taking common prime factors GCF of 9344 and 9352 is 8

Greatest Common Factor of 9344 and 9352 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 9352

List of positive integer factors of 9352 that divides 9352 without a remainder.

1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352

Greatest Common Factor

We found the factors and prime factorization of 9344 and 9352. The biggest common factor number is the GCF number.
So the greatest common factor 9344 and 9352 is 8.

Also check out the Least Common Multiple of 9344 and 9352

Properties of GCF 9344 and 9352

(i) The GCF of 9344 and 9352 is associative

GCF of 9344 and 9352 = GCF of 9352 and 9344

Related Greatest Common Factor of 9344

Related Greatest Common Factor of 9352

Frequently Asked Questions on GCF of 9344 and 9352

1. What is the GCF of 9344 and 9352?

Answer: GCF of 9344 and 9352 is 8.

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 9352?

Answer: Factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352. There are 16 integers that are factors of 9352. The greatest factor of 9352 is 9352.

4. How to Find the GCF of 9344 and 9352?

Answer:

Greatest Common Factor of 9344 and 9352 = 8

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 9352

9352 = 2 x 2 x 2 x 7 x 167

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 9344 and 9352 is 8