Greatest Common Factor of 2343 and 2350

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 2343, 2350 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2343 and 2350 is 1.

GCF(2343,2350) = 1

GCF of 2343 and 2350

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

GCF of:
and

Greatest Common Factor of 2343 and 2350

GCF of 2343 and 2350 is 1

Prime Factorization of 2343


3 2343
11 781
71 71
1

Prime factors of 2343 are 3,11,71. Prime factorization of 2343 in exponential form is:

2343 = 31×111×711

Prime Factorization of 2350


2 2350
5 1175
5 235
47 47
1

Prime factors of 2350 are 2,5,47. Prime factorization of 2350 in exponential form is:

2350 = 21×52×471

∴ So by taking common prime factors GCF of 2343 and 2350 is 1

Greatest Common Factor of 2343 and 2350 by matching factors method

Factors of 2343

List of positive integer factors of 2343 that divides 2343 without a remainder.

1,3,11,33,71,213,781,2343

Factors of 2350

List of positive integer factors of 2350 that divides 2350 without a remainder.

1,2,5,10,25,47,50,94,235,470,1175,2350

Greatest Common Factor

We found the factors and prime factorization of 2343 and 2350. The biggest common factor number is the GCF number.
So the greatest common factor 2343 and 2350 is 1.

Also check out the Least Common Multiple of 2343 and 2350

Properties of GCF 2343 and 2350

(i) The GCF of 2343 and 2350 is associative

GCF of 2343 and 2350 = GCF of 2350 and 2343

Related Greatest Common Factor of 2343

Related Greatest Common Factor of 2350

Frequently Asked Questions on GCF of 2343 and 2350

1. What is the GCF of 2343 and 2350?

Answer: GCF of 2343 and 2350 is 1.

2. What are the Factors of 2343?

Answer: Factors of 2343 are 1, 3, 11, 33, 71, 213, 781, 2343. There are 8 integers that are factors of 2343. The greatest factor of 2343 is 2343.

3. What are the Factors of 2350?

Answer: Factors of 2350 are 1, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350. There are 12 integers that are factors of 2350. The greatest factor of 2350 is 2350.

4. How to Find the GCF of 2343 and 2350?

Answer:

Greatest Common Factor of 2343 and 2350 = 1

Step 1: Find the prime factorization of 2343

2343 = 3 x 11 x 71

Step 2: Find the prime factorization of 2350

2350 = 2 x 5 x 5 x 47

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 2343 and 2350 is 1