Greatest Common Factor of 2338 and 2340

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, 2340 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2338 and 2340 is 2.

GCF(2338,2340) = 2

GCF of 2338 and 2340

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

GCF of:
and

Greatest Common Factor of 2338 and 2340

GCF of 2338 and 2340 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 2340


2 2340
2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 2340 are 2,3,5,13. Prime factorization of 2340 in exponential form is:

2340 = 22×32×51×131

∴ So by taking common prime factors GCF of 2338 and 2340 is 2

Greatest Common Factor of 2338 and 2340 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 2340

List of positive integer factors of 2340 that divides 2340 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340

Greatest Common Factor

We found the factors and prime factorization of 2338 and 2340. The biggest common factor number is the GCF number.
So the greatest common factor 2338 and 2340 is 2.

Also check out the Least Common Multiple of 2338 and 2340

Properties of GCF 2338 and 2340

(i) The GCF of 2338 and 2340 is associative

GCF of 2338 and 2340 = GCF of 2340 and 2338

Related Greatest Common Factor of 2338

Related Greatest Common Factor of 2340

Frequently Asked Questions on GCF of 2338 and 2340

1. What is the GCF of 2338 and 2340?

Answer: GCF of 2338 and 2340 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 2340?

Answer: Factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340. There are 36 integers that are factors of 2340. The greatest factor of 2340 is 2340.

4. How to Find the GCF of 2338 and 2340?

Answer:

Greatest Common Factor of 2338 and 2340 = 2

Step 1: Find the prime factorization of 2338

2338 = 2 x 7 x 167

Step 2: Find the prime factorization of 2340

2340 = 2 x 2 x 3 x 3 x 5 x 13

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 2340 is 2