Greatest Common Factor of 2338 and 2346

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 2338, 2346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2338 and 2346 is 2.

GCF(2338,2346) = 2

GCF of 2338 and 2346

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

GCF of:
and

Greatest Common Factor of 2338 and 2346

GCF of 2338 and 2346 is 2

Prime Factorization of 2338


2 2338
7 1169
167 167
1

Prime factors of 2338 are 2,7,167. Prime factorization of 2338 in exponential form is:

2338 = 21×71×1671

Prime Factorization of 2346


2 2346
3 1173
17 391
23 23
1

Prime factors of 2346 are 2,3,17,23. Prime factorization of 2346 in exponential form is:

2346 = 21×31×171×231

∴ So by taking common prime factors GCF of 2338 and 2346 is 2

Greatest Common Factor of 2338 and 2346 by matching factors method

Factors of 2338

List of positive integer factors of 2338 that divides 2338 without a remainder.

1,2,7,14,167,334,1169,2338

Factors of 2346

List of positive integer factors of 2346 that divides 2346 without a remainder.

1,2,3,6,17,23,34,46,51,69,102,138,391,782,1173,2346

Greatest Common Factor

We found the factors and prime factorization of 2338 and 2346. The biggest common factor number is the GCF number.
So the greatest common factor 2338 and 2346 is 2.

Also check out the Least Common Multiple of 2338 and 2346

Properties of GCF 2338 and 2346

(i) The GCF of 2338 and 2346 is associative

GCF of 2338 and 2346 = GCF of 2346 and 2338

Related Greatest Common Factor of 2338

Related Greatest Common Factor of 2346

Frequently Asked Questions on GCF of 2338 and 2346

1. What is the GCF of 2338 and 2346?

Answer: GCF of 2338 and 2346 is 2.

2. What are the Factors of 2338?

Answer: Factors of 2338 are 1, 2, 7, 14, 167, 334, 1169, 2338. There are 8 integers that are factors of 2338. The greatest factor of 2338 is 2338.

3. What are the Factors of 2346?

Answer: Factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346. There are 16 integers that are factors of 2346. The greatest factor of 2346 is 2346.

4. How to Find the GCF of 2338 and 2346?

Answer:

Greatest Common Factor of 2338 and 2346 = 2

Step 1: Find the prime factorization of 2338

2338 = 2 x 7 x 167

Step 2: Find the prime factorization of 2346

2346 = 2 x 3 x 17 x 23

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 2338 and 2346 is 2