Greatest Common Factor of 12337 and 12344

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 12337, 12344 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12337 and 12344 is 1.

GCF(12337,12344) = 1

GCF of 12337 and 12344

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

GCF of:
and

Greatest Common Factor of 12337 and 12344

GCF of 12337 and 12344 is 1

Prime Factorization of 12337


13 12337
13 949
73 73
1

Prime factors of 12337 are 13,73. Prime factorization of 12337 in exponential form is:

12337 = 132×731

Prime Factorization of 12344


2 12344
2 6172
2 3086
1543 1543
1

Prime factors of 12344 are 2,1543. Prime factorization of 12344 in exponential form is:

12344 = 23×15431

∴ So by taking common prime factors GCF of 12337 and 12344 is 1

Greatest Common Factor of 12337 and 12344 by matching factors method

Factors of 12337

List of positive integer factors of 12337 that divides 12337 without a remainder.

1,13,73,169,949,12337

Factors of 12344

List of positive integer factors of 12344 that divides 12344 without a remainder.

1,2,4,8,1543,3086,6172,12344

Greatest Common Factor

We found the factors and prime factorization of 12337 and 12344. The biggest common factor number is the GCF number.
So the greatest common factor 12337 and 12344 is 1.

Also check out the Least Common Multiple of 12337 and 12344

Properties of GCF 12337 and 12344

(i) The GCF of 12337 and 12344 is associative

GCF of 12337 and 12344 = GCF of 12344 and 12337

Related Greatest Common Factor of 12337

Related Greatest Common Factor of 12344

Frequently Asked Questions on GCF of 12337 and 12344

1. What is the GCF of 12337 and 12344?

Answer: GCF of 12337 and 12344 is 1.

2. What are the Factors of 12337?

Answer: Factors of 12337 are 1, 13, 73, 169, 949, 12337. There are 6 integers that are factors of 12337. The greatest factor of 12337 is 12337.

3. What are the Factors of 12344?

Answer: Factors of 12344 are 1, 2, 4, 8, 1543, 3086, 6172, 12344. There are 8 integers that are factors of 12344. The greatest factor of 12344 is 12344.

4. How to Find the GCF of 12337 and 12344?

Answer:

Greatest Common Factor of 12337 and 12344 = 1

Step 1: Find the prime factorization of 12337

12337 = 13 x 13 x 73

Step 2: Find the prime factorization of 12344

12344 = 2 x 2 x 2 x 1543

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 12337 and 12344 is 1