Greatest Common Factor of 12336 and 12343

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 12336, 12343 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12336 and 12343 is 1.

GCF(12336,12343) = 1

GCF of 12336 and 12343

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

GCF of:
and

Greatest Common Factor of 12336 and 12343

GCF of 12336 and 12343 is 1

Prime Factorization of 12336


2 12336
2 6168
2 3084
2 1542
3 771
257 257
1

Prime factors of 12336 are 2,3,257. Prime factorization of 12336 in exponential form is:

12336 = 24×31×2571

Prime Factorization of 12343


12343 12343
1

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

12343 = 123431

∴ So by taking common prime factors GCF of 12336 and 12343 is 1

Greatest Common Factor of 12336 and 12343 by matching factors method

Factors of 12336

List of positive integer factors of 12336 that divides 12336 without a remainder.

1,2,3,4,6,8,12,16,24,48,257,514,771,1028,1542,2056,3084,4112,6168,12336

Factors of 12343

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

1,12343

Greatest Common Factor

We found the factors and prime factorization of 12336 and 12343. The biggest common factor number is the GCF number.
So the greatest common factor 12336 and 12343 is 1.

Also check out the Least Common Multiple of 12336 and 12343

Properties of GCF 12336 and 12343

(i) The GCF of 12336 and 12343 is associative

GCF of 12336 and 12343 = GCF of 12343 and 12336

Related Greatest Common Factor of 12336

Related Greatest Common Factor of 12343

Frequently Asked Questions on GCF of 12336 and 12343

1. What is the GCF of 12336 and 12343?

Answer: GCF of 12336 and 12343 is 1.

2. What are the Factors of 12336?

Answer: Factors of 12336 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 257, 514, 771, 1028, 1542, 2056, 3084, 4112, 6168, 12336. There are 20 integers that are factors of 12336. The greatest factor of 12336 is 12336.

3. 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.

4. How to Find the GCF of 12336 and 12343?

Answer:

Greatest Common Factor of 12336 and 12343 = 1

Step 1: Find the prime factorization of 12336

12336 = 2 x 2 x 2 x 2 x 3 x 257

Step 2: Find the prime factorization of 12343

12343 = 12343

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 12336 and 12343 is 1