Greatest Common Factor of 12429 and 12434

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, 12434 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12429 and 12434 is 1.

GCF(12429,12434) = 1

GCF of 12429 and 12434

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

GCF of:
and

Greatest Common Factor of 12429 and 12434

GCF of 12429 and 12434 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 12434


2 12434
6217 6217
1

Prime factors of 12434 are 2,6217. Prime factorization of 12434 in exponential form is:

12434 = 21×62171

∴ So by taking common prime factors GCF of 12429 and 12434 is 1

Greatest Common Factor of 12429 and 12434 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 12434

List of positive integer factors of 12434 that divides 12434 without a remainder.

1,2,6217,12434

Greatest Common Factor

We found the factors and prime factorization of 12429 and 12434. The biggest common factor number is the GCF number.
So the greatest common factor 12429 and 12434 is 1.

Also check out the Least Common Multiple of 12429 and 12434

Properties of GCF 12429 and 12434

(i) The GCF of 12429 and 12434 is associative

GCF of 12429 and 12434 = GCF of 12434 and 12429

Related Greatest Common Factor of 12429

Related Greatest Common Factor of 12434

Frequently Asked Questions on GCF of 12429 and 12434

1. What is the GCF of 12429 and 12434?

Answer: GCF of 12429 and 12434 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 12434?

Answer: Factors of 12434 are 1, 2, 6217, 12434. There are 4 integers that are factors of 12434. The greatest factor of 12434 is 12434.

4. How to Find the GCF of 12429 and 12434?

Answer:

Greatest Common Factor of 12429 and 12434 = 1

Step 1: Find the prime factorization of 12429

12429 = 3 x 3 x 1381

Step 2: Find the prime factorization of 12434

12434 = 2 x 6217

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 12434 is 1