Greatest Common Factor of 2340 and 2348

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 2340, 2348 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2340 and 2348 is 4.

GCF(2340,2348) = 4

GCF of 2340 and 2348

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

GCF of:
and

Greatest Common Factor of 2340 and 2348

GCF of 2340 and 2348 is 4

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

Prime Factorization of 2348


2 2348
2 1174
587 587
1

Prime factors of 2348 are 2,587. Prime factorization of 2348 in exponential form is:

2348 = 22×5871

∴ So by taking common prime factors GCF of 2340 and 2348 is 4

Greatest Common Factor of 2340 and 2348 by matching factors method

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

Factors of 2348

List of positive integer factors of 2348 that divides 2348 without a remainder.

1,2,4,587,1174,2348

Greatest Common Factor

We found the factors and prime factorization of 2340 and 2348. The biggest common factor number is the GCF number.
So the greatest common factor 2340 and 2348 is 4.

Also check out the Least Common Multiple of 2340 and 2348

Properties of GCF 2340 and 2348

(i) The GCF of 2340 and 2348 is associative

GCF of 2340 and 2348 = GCF of 2348 and 2340

Related Greatest Common Factor of 2340

Related Greatest Common Factor of 2348

Frequently Asked Questions on GCF of 2340 and 2348

1. What is the GCF of 2340 and 2348?

Answer: GCF of 2340 and 2348 is 4.

2. 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.

3. What are the Factors of 2348?

Answer: Factors of 2348 are 1, 2, 4, 587, 1174, 2348. There are 6 integers that are factors of 2348. The greatest factor of 2348 is 2348.

4. How to Find the GCF of 2340 and 2348?

Answer:

Greatest Common Factor of 2340 and 2348 = 4

Step 1: Find the prime factorization of 2340

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

Step 2: Find the prime factorization of 2348

2348 = 2 x 2 x 587

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2340 and 2348 is 4