Greatest Common Factor of 144382 and 144388

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, 144388 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144382 and 144388 is 2.

GCF(144382,144388) = 2

GCF of 144382 and 144388

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

GCF of:
and

Greatest Common Factor of 144382 and 144388

GCF of 144382 and 144388 is 2

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 144388


2 144388
2 72194
36097 36097
1

Prime factors of 144388 are 2,36097. Prime factorization of 144388 in exponential form is:

144388 = 22×360971

∴ So by taking common prime factors GCF of 144382 and 144388 is 2

Greatest Common Factor of 144382 and 144388 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 144388

List of positive integer factors of 144388 that divides 144388 without a remainder.

1,2,4,36097,72194,144388

Greatest Common Factor

We found the factors and prime factorization of 144382 and 144388. The biggest common factor number is the GCF number.
So the greatest common factor 144382 and 144388 is 2.

Also check out the Least Common Multiple of 144382 and 144388

Properties of GCF 144382 and 144388

(i) The GCF of 144382 and 144388 is associative

GCF of 144382 and 144388 = GCF of 144388 and 144382

Related Greatest Common Factor of 144382

Related Greatest Common Factor of 144388

Frequently Asked Questions on GCF of 144382 and 144388

1. What is the GCF of 144382 and 144388?

Answer: GCF of 144382 and 144388 is 2.

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 144388?

Answer: Factors of 144388 are 1, 2, 4, 36097, 72194, 144388. There are 6 integers that are factors of 144388. The greatest factor of 144388 is 144388.

4. How to Find the GCF of 144382 and 144388?

Answer:

Greatest Common Factor of 144382 and 144388 = 2

Step 1: Find the prime factorization of 144382

144382 = 2 x 7 x 10313

Step 2: Find the prime factorization of 144388

144388 = 2 x 2 x 36097

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 144382 and 144388 is 2