Greatest Common Factor of 13429 and 13434

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 13429, 13434 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13429 and 13434 is 1.

GCF(13429,13434) = 1

GCF of 13429 and 13434

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

GCF of:
and

Greatest Common Factor of 13429 and 13434

GCF of 13429 and 13434 is 1

Prime Factorization of 13429


13 13429
1033 1033
1

Prime factors of 13429 are 13,1033. Prime factorization of 13429 in exponential form is:

13429 = 131×10331

Prime Factorization of 13434


2 13434
3 6717
2239 2239
1

Prime factors of 13434 are 2,3,2239. Prime factorization of 13434 in exponential form is:

13434 = 21×31×22391

∴ So by taking common prime factors GCF of 13429 and 13434 is 1

Greatest Common Factor of 13429 and 13434 by matching factors method

Factors of 13429

List of positive integer factors of 13429 that divides 13429 without a remainder.

1,13,1033,13429

Factors of 13434

List of positive integer factors of 13434 that divides 13434 without a remainder.

1,2,3,6,2239,4478,6717,13434

Greatest Common Factor

We found the factors and prime factorization of 13429 and 13434. The biggest common factor number is the GCF number.
So the greatest common factor 13429 and 13434 is 1.

Also check out the Least Common Multiple of 13429 and 13434

Properties of GCF 13429 and 13434

(i) The GCF of 13429 and 13434 is associative

GCF of 13429 and 13434 = GCF of 13434 and 13429

Related Greatest Common Factor of 13429

Related Greatest Common Factor of 13434

Frequently Asked Questions on GCF of 13429 and 13434

1. What is the GCF of 13429 and 13434?

Answer: GCF of 13429 and 13434 is 1.

2. What are the Factors of 13429?

Answer: Factors of 13429 are 1, 13, 1033, 13429. There are 4 integers that are factors of 13429. The greatest factor of 13429 is 13429.

3. What are the Factors of 13434?

Answer: Factors of 13434 are 1, 2, 3, 6, 2239, 4478, 6717, 13434. There are 8 integers that are factors of 13434. The greatest factor of 13434 is 13434.

4. How to Find the GCF of 13429 and 13434?

Answer:

Greatest Common Factor of 13429 and 13434 = 1

Step 1: Find the prime factorization of 13429

13429 = 13 x 1033

Step 2: Find the prime factorization of 13434

13434 = 2 x 3 x 2239

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 13429 and 13434 is 1