Greatest Common Factor of 9344 and 9351

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, 9351 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9344 and 9351 is 1.

GCF(9344,9351) = 1

GCF of 9344 and 9351

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

GCF of:
and

Greatest Common Factor of 9344 and 9351

GCF of 9344 and 9351 is 1

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 9351


3 9351
3 3117
1039 1039
1

Prime factors of 9351 are 3,1039. Prime factorization of 9351 in exponential form is:

9351 = 32×10391

∴ So by taking common prime factors GCF of 9344 and 9351 is 1

Greatest Common Factor of 9344 and 9351 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 9351

List of positive integer factors of 9351 that divides 9351 without a remainder.

1,3,9,1039,3117,9351

Greatest Common Factor

We found the factors and prime factorization of 9344 and 9351. The biggest common factor number is the GCF number.
So the greatest common factor 9344 and 9351 is 1.

Also check out the Least Common Multiple of 9344 and 9351

Properties of GCF 9344 and 9351

(i) The GCF of 9344 and 9351 is associative

GCF of 9344 and 9351 = GCF of 9351 and 9344

Related Greatest Common Factor of 9344

Related Greatest Common Factor of 9351

Frequently Asked Questions on GCF of 9344 and 9351

1. What is the GCF of 9344 and 9351?

Answer: GCF of 9344 and 9351 is 1.

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 9351?

Answer: Factors of 9351 are 1, 3, 9, 1039, 3117, 9351. There are 6 integers that are factors of 9351. The greatest factor of 9351 is 9351.

4. How to Find the GCF of 9344 and 9351?

Answer:

Greatest Common Factor of 9344 and 9351 = 1

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 9351

9351 = 3 x 3 x 1039

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9344 and 9351 is 1