Greatest Common Factor of 12429 and 12436

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 12429, 12436 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12429 and 12436 is 1.

GCF(12429,12436) = 1

GCF of 12429 and 12436

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

GCF of:
and

Greatest Common Factor of 12429 and 12436

GCF of 12429 and 12436 is 1

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

Prime Factorization of 12436


2 12436
2 6218
3109 3109
1

Prime factors of 12436 are 2,3109. Prime factorization of 12436 in exponential form is:

12436 = 22×31091

∴ So by taking common prime factors GCF of 12429 and 12436 is 1

Greatest Common Factor of 12429 and 12436 by matching factors method

Factors of 12429

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

1,3,9,1381,4143,12429

Factors of 12436

List of positive integer factors of 12436 that divides 12436 without a remainder.

1,2,4,3109,6218,12436

Greatest Common Factor

We found the factors and prime factorization of 12429 and 12436. The biggest common factor number is the GCF number.
So the greatest common factor 12429 and 12436 is 1.

Also check out the Least Common Multiple of 12429 and 12436

Properties of GCF 12429 and 12436

(i) The GCF of 12429 and 12436 is associative

GCF of 12429 and 12436 = GCF of 12436 and 12429

Frequently Asked Questions on GCF of 12429 and 12436

1. What is the GCF of 12429 and 12436?

Answer: GCF of 12429 and 12436 is 1.

2. 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.

3. What are the Factors of 12436?

Answer: Factors of 12436 are 1, 2, 4, 3109, 6218, 12436. There are 6 integers that are factors of 12436. The greatest factor of 12436 is 12436.

4. How to Find the GCF of 12429 and 12436?

Answer:

Greatest Common Factor of 12429 and 12436 = 1

Step 1: Find the prime factorization of 12429

12429 = 3 x 3 x 1381

Step 2: Find the prime factorization of 12436

12436 = 2 x 2 x 3109

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 12429 and 12436 is 1