Greatest Common Factor of 2340 and 2347

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, 2347 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2340 and 2347 is 1.

GCF(2340,2347) = 1

GCF of 2340 and 2347

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

GCF of:
and

Greatest Common Factor of 2340 and 2347

GCF of 2340 and 2347 is 1

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 2347


2347 2347
1

Prime factors of 2347 are 2347. Prime factorization of 2347 in exponential form is:

2347 = 23471

∴ So by taking common prime factors GCF of 2340 and 2347 is 1

Greatest Common Factor of 2340 and 2347 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 2347

List of positive integer factors of 2347 that divides 2347 without a remainder.

1,2347

Greatest Common Factor

We found the factors and prime factorization of 2340 and 2347. The biggest common factor number is the GCF number.
So the greatest common factor 2340 and 2347 is 1.

Also check out the Least Common Multiple of 2340 and 2347

Properties of GCF 2340 and 2347

(i) The GCF of 2340 and 2347 is associative

GCF of 2340 and 2347 = GCF of 2347 and 2340

Related Greatest Common Factor of 2340

Related Greatest Common Factor of 2347

Frequently Asked Questions on GCF of 2340 and 2347

1. What is the GCF of 2340 and 2347?

Answer: GCF of 2340 and 2347 is 1.

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 2347?

Answer: Factors of 2347 are 1, 2347. There are 2 integers that are factors of 2347. The greatest factor of 2347 is 2347.

4. How to Find the GCF of 2340 and 2347?

Answer:

Greatest Common Factor of 2340 and 2347 = 1

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 2347

2347 = 2347

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 2340 and 2347 is 1