Greatest Common Factor of 9341 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 9341, 9344 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9341 and 9344 is 1.

GCF(9341,9344) = 1

GCF of 9341 and 9344

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

GCF of:
and

Greatest Common Factor of 9341 and 9344

GCF of 9341 and 9344 is 1

Prime Factorization of 9341


9341 9341
1

Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:

9341 = 93411

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.Prime factorization of 9344 in exponential form is:

9344 = 27×731

∴ So by taking common prime factors GCF of 9341 and 9344 is 1

Greatest Common Factor of 9341 and 9344 by matching factors method

Factors of 9341

List of positive integer factors of 9341 that divides 9341 without a remainder.

1,9341

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 9341 and 9344. The biggest common factor number is the GCF number.
So the greatest common factor 9341 and 9344 is 1.

Also check out the Least Common Multiple of 9341 and 9344

Properties of GCF 9341 and 9344

(i) The GCF of 9341 and 9344 is associative

GCF of 9341 and 9344 = GCF of 9344 and 9341

Related Greatest Common Factor of 9341

Related Greatest Common Factor of 9344

Frequently Asked Questions on GCF of 9341 and 9344

1. What is the GCF of 9341 and 9344?

Answer: GCF of 9341 and 9344 is 1.

2. What are the Factors of 9341?

Answer: Factors of 9341 are 1, 9341. There are 2 integers that are factors of 9341. The greatest factor of 9341 is 9341.

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 9341 and 9344?

Answer:

Greatest Common Factor of 9341 and 9344 = 1

Step 1: Find the prime factorization of 9341

9341 = 9341

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 = = 1

Step 4: Therefore, the greatest common factor of 9341 and 9344 is 1