Greatest Common Factor of 13414 and 13420

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 13414, 13420 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13414 and 13420 is 2.

GCF(13414,13420) = 2

GCF of 13414 and 13420

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

GCF of:
and

Greatest Common Factor of 13414 and 13420

GCF of 13414 and 13420 is 2

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

Prime Factorization of 13420


2 13420
2 6710
5 3355
11 671
61 61
1

Prime factors of 13420 are 2,5,11,61. Prime factorization of 13420 in exponential form is:

13420 = 22×51×111×611

∴ So by taking common prime factors GCF of 13414 and 13420 is 2

Greatest Common Factor of 13414 and 13420 by matching factors method

Factors of 13414

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

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

Factors of 13420

List of positive integer factors of 13420 that divides 13420 without a remainder.

1,2,4,5,10,11,20,22,44,55,61,110,122,220,244,305,610,671,1220,1342,2684,3355,6710,13420

Greatest Common Factor

We found the factors and prime factorization of 13414 and 13420. The biggest common factor number is the GCF number.
So the greatest common factor 13414 and 13420 is 2.

Also check out the Least Common Multiple of 13414 and 13420

Properties of GCF 13414 and 13420

(i) The GCF of 13414 and 13420 is associative

GCF of 13414 and 13420 = GCF of 13420 and 13414

Related Greatest Common Factor of 13414

Related Greatest Common Factor of 13420

Frequently Asked Questions on GCF of 13414 and 13420

1. What is the GCF of 13414 and 13420?

Answer: GCF of 13414 and 13420 is 2.

2. 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.

3. What are the Factors of 13420?

Answer: Factors of 13420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 61, 110, 122, 220, 244, 305, 610, 671, 1220, 1342, 2684, 3355, 6710, 13420. There are 24 integers that are factors of 13420. The greatest factor of 13420 is 13420.

4. How to Find the GCF of 13414 and 13420?

Answer:

Greatest Common Factor of 13414 and 13420 = 2

Step 1: Find the prime factorization of 13414

13414 = 2 x 19 x 353

Step 2: Find the prime factorization of 13420

13420 = 2 x 2 x 5 x 11 x 61

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 13414 and 13420 is 2