Greatest Common Factor of 12343 and 12345

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 12343, 12345 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12343 and 12345 is 1.

GCF(12343,12345) = 1

GCF of 12343 and 12345

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

GCF of:
and

Greatest Common Factor of 12343 and 12345

GCF of 12343 and 12345 is 1

Prime Factorization of 12343


12343 12343
1

Prime factors of 12343 are 12343. Prime factorization of 12343 in exponential form is:

12343 = 123431

Prime Factorization of 12345


3 12345
5 4115
823 823
1

Prime factors of 12345 are 3.Prime factorization of 12345 in exponential form is:

12345 = 31×51×8231

∴ So by taking common prime factors GCF of 12343 and 12345 is 1

Greatest Common Factor of 12343 and 12345 by matching factors method

Factors of 12343

List of positive integer factors of 12343 that divides 12343 without a remainder.

1,12343

Factors of 12345

List of positive integer factors of 12345 that divides 12345 without a remainder.

1,3,5,15,823,2469,4115,12345

Greatest Common Factor

We found the factors and prime factorization of 12343 and 12345. The biggest common factor number is the GCF number.
So the greatest common factor 12343 and 12345 is 1.

Also check out the Least Common Multiple of 12343 and 12345

Properties of GCF 12343 and 12345

(i) The GCF of 12343 and 12345 is associative

GCF of 12343 and 12345 = GCF of 12345 and 12343

Related Greatest Common Factor of 12343

Related Greatest Common Factor of 12345

Frequently Asked Questions on GCF of 12343 and 12345

1. What is the GCF of 12343 and 12345?

Answer: GCF of 12343 and 12345 is 1.

2. What are the Factors of 12343?

Answer: Factors of 12343 are 1, 12343. There are 2 integers that are factors of 12343. The greatest factor of 12343 is 12343.

3. What are the Factors of 12345?

Answer: Factors of 12345 are 1, 3, 5, 15, 823, 2469, 4115, 12345. There are 8 integers that are factors of 12345. The greatest factor of 12345 is 12345.

4. How to Find the GCF of 12343 and 12345?

Answer:

Greatest Common Factor of 12343 and 12345 = 1

Step 1: Find the prime factorization of 12343

12343 = 12343

Step 2: Find the prime factorization of 12345

12345 = 3 x 5 x 823

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 12343 and 12345 is 1