Greatest Common Factor of 13455 and 13458

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 13455, 13458 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13455 and 13458 is 3.

GCF(13455,13458) = 3

GCF of 13455 and 13458

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

GCF of:
and

Greatest Common Factor of 13455 and 13458

GCF of 13455 and 13458 is 3

Prime Factorization of 13455


3 13455
3 4485
5 1495
13 299
23 23
1

Prime factors of 13455 are 3,5,13,23. Prime factorization of 13455 in exponential form is:

13455 = 32×51×131×231

Prime Factorization of 13458


2 13458
3 6729
2243 2243
1

Prime factors of 13458 are 2,3,2243. Prime factorization of 13458 in exponential form is:

13458 = 21×31×22431

∴ So by taking common prime factors GCF of 13455 and 13458 is 3

Greatest Common Factor of 13455 and 13458 by matching factors method

Factors of 13455

List of positive integer factors of 13455 that divides 13455 without a remainder.

1,3,5,9,13,15,23,39,45,65,69,115,117,195,207,299,345,585,897,1035,1495,2691,4485,13455

Factors of 13458

List of positive integer factors of 13458 that divides 13458 without a remainder.

1,2,3,6,2243,4486,6729,13458

Greatest Common Factor

We found the factors and prime factorization of 13455 and 13458. The biggest common factor number is the GCF number.
So the greatest common factor 13455 and 13458 is 3.

Also check out the Least Common Multiple of 13455 and 13458

Properties of GCF 13455 and 13458

(i) The GCF of 13455 and 13458 is associative

GCF of 13455 and 13458 = GCF of 13458 and 13455

Related Greatest Common Factor of 13455

Related Greatest Common Factor of 13458

Frequently Asked Questions on GCF of 13455 and 13458

1. What is the GCF of 13455 and 13458?

Answer: GCF of 13455 and 13458 is 3.

2. What are the Factors of 13455?

Answer: Factors of 13455 are 1, 3, 5, 9, 13, 15, 23, 39, 45, 65, 69, 115, 117, 195, 207, 299, 345, 585, 897, 1035, 1495, 2691, 4485, 13455. There are 24 integers that are factors of 13455. The greatest factor of 13455 is 13455.

3. What are the Factors of 13458?

Answer: Factors of 13458 are 1, 2, 3, 6, 2243, 4486, 6729, 13458. There are 8 integers that are factors of 13458. The greatest factor of 13458 is 13458.

4. How to Find the GCF of 13455 and 13458?

Answer:

Greatest Common Factor of 13455 and 13458 = 3

Step 1: Find the prime factorization of 13455

13455 = 3 x 3 x 5 x 13 x 23

Step 2: Find the prime factorization of 13458

13458 = 2 x 3 x 2243

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

GCF = 3

Step 4: Therefore, the greatest common factor of 13455 and 13458 is 3