Greatest Common Factor of 144390 and 144391

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, 144391 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144390 and 144391 is 1.

GCF(144390,144391) = 1

GCF of 144390 and 144391

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

GCF of:
and

Greatest Common Factor of 144390 and 144391

GCF of 144390 and 144391 is 1

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 144391


13 144391
29 11107
383 383
1

Prime factors of 144391 are 13,29,383. Prime factorization of 144391 in exponential form is:

144391 = 131×291×3831

∴ So by taking common prime factors GCF of 144390 and 144391 is 1

Greatest Common Factor of 144390 and 144391 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 144391

List of positive integer factors of 144391 that divides 144391 without a remainder.

1,13,29,377,383,4979,11107,144391

Greatest Common Factor

We found the factors and prime factorization of 144390 and 144391. The biggest common factor number is the GCF number.
So the greatest common factor 144390 and 144391 is 1.

Also check out the Least Common Multiple of 144390 and 144391

Properties of GCF 144390 and 144391

(i) The GCF of 144390 and 144391 is associative

GCF of 144390 and 144391 = GCF of 144391 and 144390

Frequently Asked Questions on GCF of 144390 and 144391

1. What is the GCF of 144390 and 144391?

Answer: GCF of 144390 and 144391 is 1.

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 144391?

Answer: Factors of 144391 are 1, 13, 29, 377, 383, 4979, 11107, 144391. There are 8 integers that are factors of 144391. The greatest factor of 144391 is 144391.

4. How to Find the GCF of 144390 and 144391?

Answer:

Greatest Common Factor of 144390 and 144391 = 1

Step 1: Find the prime factorization of 144390

144390 = 2 x 3 x 5 x 4813

Step 2: Find the prime factorization of 144391

144391 = 13 x 29 x 383

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 144390 and 144391 is 1