Greatest Common Factor of 12423 and 12429

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 12423, 12429 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12423 and 12429 is 3.

GCF(12423,12429) = 3

GCF of 12423 and 12429

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

GCF of:
and

Greatest Common Factor of 12423 and 12429

GCF of 12423 and 12429 is 3

Prime Factorization of 12423


3 12423
41 4141
101 101
1

Prime factors of 12423 are 3,41,101. Prime factorization of 12423 in exponential form is:

12423 = 31×411×1011

Prime Factorization of 12429


3 12429
3 4143
1381 1381
1

Prime factors of 12429 are 3,1381. Prime factorization of 12429 in exponential form is:

12429 = 32×13811

∴ So by taking common prime factors GCF of 12423 and 12429 is 3

Greatest Common Factor of 12423 and 12429 by matching factors method

Factors of 12423

List of positive integer factors of 12423 that divides 12423 without a remainder.

1,3,41,101,123,303,4141,12423

Factors of 12429

List of positive integer factors of 12429 that divides 12429 without a remainder.

1,3,9,1381,4143,12429

Greatest Common Factor

We found the factors and prime factorization of 12423 and 12429. The biggest common factor number is the GCF number.
So the greatest common factor 12423 and 12429 is 3.

Also check out the Least Common Multiple of 12423 and 12429

Properties of GCF 12423 and 12429

(i) The GCF of 12423 and 12429 is associative

GCF of 12423 and 12429 = GCF of 12429 and 12423

Related Greatest Common Factor of 12423

Related Greatest Common Factor of 12429

Frequently Asked Questions on GCF of 12423 and 12429

1. What is the GCF of 12423 and 12429?

Answer: GCF of 12423 and 12429 is 3.

2. What are the Factors of 12423?

Answer: Factors of 12423 are 1, 3, 41, 101, 123, 303, 4141, 12423. There are 8 integers that are factors of 12423. The greatest factor of 12423 is 12423.

3. What are the Factors of 12429?

Answer: Factors of 12429 are 1, 3, 9, 1381, 4143, 12429. There are 6 integers that are factors of 12429. The greatest factor of 12429 is 12429.

4. How to Find the GCF of 12423 and 12429?

Answer:

Greatest Common Factor of 12423 and 12429 = 3

Step 1: Find the prime factorization of 12423

12423 = 3 x 41 x 101

Step 2: Find the prime factorization of 12429

12429 = 3 x 3 x 1381

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 12423 and 12429 is 3