Greatest Common Factor of 2336 and 2344

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 2336, 2344 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2336 and 2344 is 8.

GCF(2336,2344) = 8

GCF of 2336 and 2344

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

GCF of:
and

Greatest Common Factor of 2336 and 2344

GCF of 2336 and 2344 is 8

Prime Factorization of 2336


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

Prime factors of 2336 are 2,73. Prime factorization of 2336 in exponential form is:

2336 = 25×731

Prime Factorization of 2344


2 2344
2 1172
2 586
293 293
1

Prime factors of 2344 are 2,293. Prime factorization of 2344 in exponential form is:

2344 = 23×2931

∴ So by taking common prime factors GCF of 2336 and 2344 is 8

Greatest Common Factor of 2336 and 2344 by matching factors method

Factors of 2336

List of positive integer factors of 2336 that divides 2336 without a remainder.

1,2,4,8,16,32,73,146,292,584,1168,2336

Factors of 2344

List of positive integer factors of 2344 that divides 2344 without a remainder.

1,2,4,8,293,586,1172,2344

Greatest Common Factor

We found the factors and prime factorization of 2336 and 2344. The biggest common factor number is the GCF number.
So the greatest common factor 2336 and 2344 is 8.

Also check out the Least Common Multiple of 2336 and 2344

Properties of GCF 2336 and 2344

(i) The GCF of 2336 and 2344 is associative

GCF of 2336 and 2344 = GCF of 2344 and 2336

Related Greatest Common Factor of 2336

Related Greatest Common Factor of 2344

Frequently Asked Questions on GCF of 2336 and 2344

1. What is the GCF of 2336 and 2344?

Answer: GCF of 2336 and 2344 is 8.

2. What are the Factors of 2336?

Answer: Factors of 2336 are 1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336. There are 12 integers that are factors of 2336. The greatest factor of 2336 is 2336.

3. What are the Factors of 2344?

Answer: Factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344. There are 8 integers that are factors of 2344. The greatest factor of 2344 is 2344.

4. How to Find the GCF of 2336 and 2344?

Answer:

Greatest Common Factor of 2336 and 2344 = 8

Step 1: Find the prime factorization of 2336

2336 = 2 x 2 x 2 x 2 x 2 x 73

Step 2: Find the prime factorization of 2344

2344 = 2 x 2 x 2 x 293

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 2336 and 2344 is 8