Greatest Common Factor of 12329 and 12337

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 12329, 12337 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12329 and 12337 is 1.

GCF(12329,12337) = 1

GCF of 12329 and 12337

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

GCF of:
and

Greatest Common Factor of 12329 and 12337

GCF of 12329 and 12337 is 1

Prime Factorization of 12329


12329 12329
1

Prime factors of 12329 are 12329. Prime factorization of 12329 in exponential form is:

12329 = 123291

Prime Factorization of 12337


13 12337
13 949
73 73
1

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

12337 = 132×731

∴ So by taking common prime factors GCF of 12329 and 12337 is 1

Greatest Common Factor of 12329 and 12337 by matching factors method

Factors of 12329

List of positive integer factors of 12329 that divides 12329 without a remainder.

1,12329

Factors of 12337

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

1,13,73,169,949,12337

Greatest Common Factor

We found the factors and prime factorization of 12329 and 12337. The biggest common factor number is the GCF number.
So the greatest common factor 12329 and 12337 is 1.

Also check out the Least Common Multiple of 12329 and 12337

Properties of GCF 12329 and 12337

(i) The GCF of 12329 and 12337 is associative

GCF of 12329 and 12337 = GCF of 12337 and 12329

Related Greatest Common Factor of 12329

Related Greatest Common Factor of 12337

Frequently Asked Questions on GCF of 12329 and 12337

1. What is the GCF of 12329 and 12337?

Answer: GCF of 12329 and 12337 is 1.

2. What are the Factors of 12329?

Answer: Factors of 12329 are 1, 12329. There are 2 integers that are factors of 12329. The greatest factor of 12329 is 12329.

3. 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.

4. How to Find the GCF of 12329 and 12337?

Answer:

Greatest Common Factor of 12329 and 12337 = 1

Step 1: Find the prime factorization of 12329

12329 = 12329

Step 2: Find the prime factorization of 12337

12337 = 13 x 13 x 73

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 12329 and 12337 is 1