Greatest Common Factor of 13410 and 13414

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 13410, 13414 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13410 and 13414 is 2.

GCF(13410,13414) = 2

GCF of 13410 and 13414

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

GCF of:
and

Greatest Common Factor of 13410 and 13414

GCF of 13410 and 13414 is 2

Prime Factorization of 13410


2 13410
3 6705
3 2235
5 745
149 149
1

Prime factors of 13410 are 2,3,5,149. Prime factorization of 13410 in exponential form is:

13410 = 21×32×51×1491

Prime Factorization of 13414


2 13414
19 6707
353 353
1

Prime factors of 13414 are 2,19,353. Prime factorization of 13414 in exponential form is:

13414 = 21×191×3531

∴ So by taking common prime factors GCF of 13410 and 13414 is 2

Greatest Common Factor of 13410 and 13414 by matching factors method

Factors of 13410

List of positive integer factors of 13410 that divides 13410 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,149,298,447,745,894,1341,1490,2235,2682,4470,6705,13410

Factors of 13414

List of positive integer factors of 13414 that divides 13414 without a remainder.

1,2,19,38,353,706,6707,13414

Greatest Common Factor

We found the factors and prime factorization of 13410 and 13414. The biggest common factor number is the GCF number.
So the greatest common factor 13410 and 13414 is 2.

Also check out the Least Common Multiple of 13410 and 13414

Properties of GCF 13410 and 13414

(i) The GCF of 13410 and 13414 is associative

GCF of 13410 and 13414 = GCF of 13414 and 13410

Related Greatest Common Factor of 13410

Related Greatest Common Factor of 13414

Frequently Asked Questions on GCF of 13410 and 13414

1. What is the GCF of 13410 and 13414?

Answer: GCF of 13410 and 13414 is 2.

2. What are the Factors of 13410?

Answer: Factors of 13410 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 149, 298, 447, 745, 894, 1341, 1490, 2235, 2682, 4470, 6705, 13410. There are 24 integers that are factors of 13410. The greatest factor of 13410 is 13410.

3. What are the Factors of 13414?

Answer: Factors of 13414 are 1, 2, 19, 38, 353, 706, 6707, 13414. There are 8 integers that are factors of 13414. The greatest factor of 13414 is 13414.

4. How to Find the GCF of 13410 and 13414?

Answer:

Greatest Common Factor of 13410 and 13414 = 2

Step 1: Find the prime factorization of 13410

13410 = 2 x 3 x 3 x 5 x 149

Step 2: Find the prime factorization of 13414

13414 = 2 x 19 x 353

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 13410 and 13414 is 2