Greatest Common Factor of 13412 and 13418

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 13412, 13418 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13412 and 13418 is 2.

GCF(13412,13418) = 2

GCF of 13412 and 13418

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

GCF of:
and

Greatest Common Factor of 13412 and 13418

GCF of 13412 and 13418 is 2

Prime Factorization of 13412


2 13412
2 6706
7 3353
479 479
1

Prime factors of 13412 are 2,7,479. Prime factorization of 13412 in exponential form is:

13412 = 22×71×4791

Prime Factorization of 13418


2 13418
6709 6709
1

Prime factors of 13418 are 2,6709. Prime factorization of 13418 in exponential form is:

13418 = 21×67091

∴ So by taking common prime factors GCF of 13412 and 13418 is 2

Greatest Common Factor of 13412 and 13418 by matching factors method

Factors of 13412

List of positive integer factors of 13412 that divides 13412 without a remainder.

1,2,4,7,14,28,479,958,1916,3353,6706,13412

Factors of 13418

List of positive integer factors of 13418 that divides 13418 without a remainder.

1,2,6709,13418

Greatest Common Factor

We found the factors and prime factorization of 13412 and 13418. The biggest common factor number is the GCF number.
So the greatest common factor 13412 and 13418 is 2.

Also check out the Least Common Multiple of 13412 and 13418

Properties of GCF 13412 and 13418

(i) The GCF of 13412 and 13418 is associative

GCF of 13412 and 13418 = GCF of 13418 and 13412

Related Greatest Common Factor of 13412

Related Greatest Common Factor of 13418

Frequently Asked Questions on GCF of 13412 and 13418

1. What is the GCF of 13412 and 13418?

Answer: GCF of 13412 and 13418 is 2.

2. What are the Factors of 13412?

Answer: Factors of 13412 are 1, 2, 4, 7, 14, 28, 479, 958, 1916, 3353, 6706, 13412. There are 12 integers that are factors of 13412. The greatest factor of 13412 is 13412.

3. What are the Factors of 13418?

Answer: Factors of 13418 are 1, 2, 6709, 13418. There are 4 integers that are factors of 13418. The greatest factor of 13418 is 13418.

4. How to Find the GCF of 13412 and 13418?

Answer:

Greatest Common Factor of 13412 and 13418 = 2

Step 1: Find the prime factorization of 13412

13412 = 2 x 2 x 7 x 479

Step 2: Find the prime factorization of 13418

13418 = 2 x 6709

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 13412 and 13418 is 2