Greatest Common Factor of 144390 and 144393

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 144390, 144393 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144390 and 144393 is 3.

GCF(144390,144393) = 3

GCF of 144390 and 144393

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

GCF of:
and

Greatest Common Factor of 144390 and 144393

GCF of 144390 and 144393 is 3

Prime Factorization of 144390


2 144390
3 72195
5 24065
4813 4813
1

Prime factors of 144390 are 2,3,5,4813. Prime factorization of 144390 in exponential form is:

144390 = 21×31×51×48131

Prime Factorization of 144393


3 144393
48131 48131
1

Prime factors of 144393 are 3,48131. Prime factorization of 144393 in exponential form is:

144393 = 31×481311

∴ So by taking common prime factors GCF of 144390 and 144393 is 3

Greatest Common Factor of 144390 and 144393 by matching factors method

Factors of 144390

List of positive integer factors of 144390 that divides 144390 without a remainder.

1,2,3,5,6,10,15,30,4813,9626,14439,24065,28878,48130,72195,144390

Factors of 144393

List of positive integer factors of 144393 that divides 144393 without a remainder.

1,3,48131,144393

Greatest Common Factor

We found the factors and prime factorization of 144390 and 144393. The biggest common factor number is the GCF number.
So the greatest common factor 144390 and 144393 is 3.

Also check out the Least Common Multiple of 144390 and 144393

Properties of GCF 144390 and 144393

(i) The GCF of 144390 and 144393 is associative

GCF of 144390 and 144393 = GCF of 144393 and 144390

Related Greatest Common Factor of 144390

Related Greatest Common Factor of 144393

Frequently Asked Questions on GCF of 144390 and 144393

1. What is the GCF of 144390 and 144393?

Answer: GCF of 144390 and 144393 is 3.

2. What are the Factors of 144390?

Answer: Factors of 144390 are 1, 2, 3, 5, 6, 10, 15, 30, 4813, 9626, 14439, 24065, 28878, 48130, 72195, 144390. There are 16 integers that are factors of 144390. The greatest factor of 144390 is 144390.

3. What are the Factors of 144393?

Answer: Factors of 144393 are 1, 3, 48131, 144393. There are 4 integers that are factors of 144393. The greatest factor of 144393 is 144393.

4. How to Find the GCF of 144390 and 144393?

Answer:

Greatest Common Factor of 144390 and 144393 = 3

Step 1: Find the prime factorization of 144390

144390 = 2 x 3 x 5 x 4813

Step 2: Find the prime factorization of 144393

144393 = 3 x 48131

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 144390 and 144393 is 3