Greatest Common Factor of 13430 and 13438

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 13430, 13438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13430 and 13438 is 2.

GCF(13430,13438) = 2

GCF of 13430 and 13438

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

GCF of:
and

Greatest Common Factor of 13430 and 13438

GCF of 13430 and 13438 is 2

Prime Factorization of 13430


2 13430
5 6715
17 1343
79 79
1

Prime factors of 13430 are 2,5,17,79. Prime factorization of 13430 in exponential form is:

13430 = 21×51×171×791

Prime Factorization of 13438


2 13438
6719 6719
1

Prime factors of 13438 are 2,6719. Prime factorization of 13438 in exponential form is:

13438 = 21×67191

∴ So by taking common prime factors GCF of 13430 and 13438 is 2

Greatest Common Factor of 13430 and 13438 by matching factors method

Factors of 13430

List of positive integer factors of 13430 that divides 13430 without a remainder.

1,2,5,10,17,34,79,85,158,170,395,790,1343,2686,6715,13430

Factors of 13438

List of positive integer factors of 13438 that divides 13438 without a remainder.

1,2,6719,13438

Greatest Common Factor

We found the factors and prime factorization of 13430 and 13438. The biggest common factor number is the GCF number.
So the greatest common factor 13430 and 13438 is 2.

Also check out the Least Common Multiple of 13430 and 13438

Properties of GCF 13430 and 13438

(i) The GCF of 13430 and 13438 is associative

GCF of 13430 and 13438 = GCF of 13438 and 13430

Related Greatest Common Factor of 13430

Related Greatest Common Factor of 13438

Frequently Asked Questions on GCF of 13430 and 13438

1. What is the GCF of 13430 and 13438?

Answer: GCF of 13430 and 13438 is 2.

2. What are the Factors of 13430?

Answer: Factors of 13430 are 1, 2, 5, 10, 17, 34, 79, 85, 158, 170, 395, 790, 1343, 2686, 6715, 13430. There are 16 integers that are factors of 13430. The greatest factor of 13430 is 13430.

3. What are the Factors of 13438?

Answer: Factors of 13438 are 1, 2, 6719, 13438. There are 4 integers that are factors of 13438. The greatest factor of 13438 is 13438.

4. How to Find the GCF of 13430 and 13438?

Answer:

Greatest Common Factor of 13430 and 13438 = 2

Step 1: Find the prime factorization of 13430

13430 = 2 x 5 x 17 x 79

Step 2: Find the prime factorization of 13438

13438 = 2 x 6719

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

GCF = 2

Step 4: Therefore, the greatest common factor of 13430 and 13438 is 2