Greatest Common Factor of 144382 and 144389

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 144382, 144389 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144382 and 144389 is 7.

GCF(144382,144389) = 7

GCF of 144382 and 144389

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

GCF of:
and

Greatest Common Factor of 144382 and 144389

GCF of 144382 and 144389 is 7

Prime Factorization of 144382


2 144382
7 72191
10313 10313
1

Prime factors of 144382 are 2,7,10313. Prime factorization of 144382 in exponential form is:

144382 = 21×71×103131

Prime Factorization of 144389


7 144389
20627 20627
1

Prime factors of 144389 are 7,20627. Prime factorization of 144389 in exponential form is:

144389 = 71×206271

∴ So by taking common prime factors GCF of 144382 and 144389 is 7

Greatest Common Factor of 144382 and 144389 by matching factors method

Factors of 144382

List of positive integer factors of 144382 that divides 144382 without a remainder.

1,2,7,14,10313,20626,72191,144382

Factors of 144389

List of positive integer factors of 144389 that divides 144389 without a remainder.

1,7,20627,144389

Greatest Common Factor

We found the factors and prime factorization of 144382 and 144389. The biggest common factor number is the GCF number.
So the greatest common factor 144382 and 144389 is 7.

Also check out the Least Common Multiple of 144382 and 144389

Properties of GCF 144382 and 144389

(i) The GCF of 144382 and 144389 is associative

GCF of 144382 and 144389 = GCF of 144389 and 144382

Related Greatest Common Factor of 144382

Related Greatest Common Factor of 144389

Frequently Asked Questions on GCF of 144382 and 144389

1. What is the GCF of 144382 and 144389?

Answer: GCF of 144382 and 144389 is 7.

2. What are the Factors of 144382?

Answer: Factors of 144382 are 1, 2, 7, 14, 10313, 20626, 72191, 144382. There are 8 integers that are factors of 144382. The greatest factor of 144382 is 144382.

3. What are the Factors of 144389?

Answer: Factors of 144389 are 1, 7, 20627, 144389. There are 4 integers that are factors of 144389. The greatest factor of 144389 is 144389.

4. How to Find the GCF of 144382 and 144389?

Answer:

Greatest Common Factor of 144382 and 144389 = 7

Step 1: Find the prime factorization of 144382

144382 = 2 x 7 x 10313

Step 2: Find the prime factorization of 144389

144389 = 7 x 20627

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

GCF = 7

Step 4: Therefore, the greatest common factor of 144382 and 144389 is 7