Greatest Common Factor of 12429 and 12435

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, 12435 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12429 and 12435 is 3.

GCF(12429,12435) = 3

GCF of 12429 and 12435

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

GCF of:
and

Greatest Common Factor of 12429 and 12435

GCF of 12429 and 12435 is 3

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 12435


3 12435
5 4145
829 829
1

Prime factors of 12435 are 3,5,829. Prime factorization of 12435 in exponential form is:

12435 = 31×51×8291

∴ So by taking common prime factors GCF of 12429 and 12435 is 3

Greatest Common Factor of 12429 and 12435 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 12435

List of positive integer factors of 12435 that divides 12435 without a remainder.

1,3,5,15,829,2487,4145,12435

Greatest Common Factor

We found the factors and prime factorization of 12429 and 12435. The biggest common factor number is the GCF number.
So the greatest common factor 12429 and 12435 is 3.

Also check out the Least Common Multiple of 12429 and 12435

Properties of GCF 12429 and 12435

(i) The GCF of 12429 and 12435 is associative

GCF of 12429 and 12435 = GCF of 12435 and 12429

Related Greatest Common Factor of 12429

Related Greatest Common Factor of 12435

Frequently Asked Questions on GCF of 12429 and 12435

1. What is the GCF of 12429 and 12435?

Answer: GCF of 12429 and 12435 is 3.

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 12435?

Answer: Factors of 12435 are 1, 3, 5, 15, 829, 2487, 4145, 12435. There are 8 integers that are factors of 12435. The greatest factor of 12435 is 12435.

4. How to Find the GCF of 12429 and 12435?

Answer:

Greatest Common Factor of 12429 and 12435 = 3

Step 1: Find the prime factorization of 12429

12429 = 3 x 3 x 1381

Step 2: Find the prime factorization of 12435

12435 = 3 x 5 x 829

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 12429 and 12435 is 3