Greatest Common Factor of 144362 and 144369

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 144362, 144369 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144362 and 144369 is 1.

GCF(144362,144369) = 1

GCF of 144362 and 144369

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

GCF of:
and

Greatest Common Factor of 144362 and 144369

GCF of 144362 and 144369 is 1

Prime Factorization of 144362


2 144362
19 72181
29 3799
131 131
1

Prime factors of 144362 are 2,19,29,131. Prime factorization of 144362 in exponential form is:

144362 = 21×191×291×1311

Prime Factorization of 144369


3 144369
3 48123
3 16041
5347 5347
1

Prime factors of 144369 are 3,5347. Prime factorization of 144369 in exponential form is:

144369 = 33×53471

∴ So by taking common prime factors GCF of 144362 and 144369 is 1

Greatest Common Factor of 144362 and 144369 by matching factors method

Factors of 144362

List of positive integer factors of 144362 that divides 144362 without a remainder.

1,2,19,29,38,58,131,262,551,1102,2489,3799,4978,7598,72181,144362

Factors of 144369

List of positive integer factors of 144369 that divides 144369 without a remainder.

1,3,9,27,5347,16041,48123,144369

Greatest Common Factor

We found the factors and prime factorization of 144362 and 144369. The biggest common factor number is the GCF number.
So the greatest common factor 144362 and 144369 is 1.

Also check out the Least Common Multiple of 144362 and 144369

Properties of GCF 144362 and 144369

(i) The GCF of 144362 and 144369 is associative

GCF of 144362 and 144369 = GCF of 144369 and 144362

Related Greatest Common Factor of 144362

Related Greatest Common Factor of 144369

Frequently Asked Questions on GCF of 144362 and 144369

1. What is the GCF of 144362 and 144369?

Answer: GCF of 144362 and 144369 is 1.

2. What are the Factors of 144362?

Answer: Factors of 144362 are 1, 2, 19, 29, 38, 58, 131, 262, 551, 1102, 2489, 3799, 4978, 7598, 72181, 144362. There are 16 integers that are factors of 144362. The greatest factor of 144362 is 144362.

3. What are the Factors of 144369?

Answer: Factors of 144369 are 1, 3, 9, 27, 5347, 16041, 48123, 144369. There are 8 integers that are factors of 144369. The greatest factor of 144369 is 144369.

4. How to Find the GCF of 144362 and 144369?

Answer:

Greatest Common Factor of 144362 and 144369 = 1

Step 1: Find the prime factorization of 144362

144362 = 2 x 19 x 29 x 131

Step 2: Find the prime factorization of 144369

144369 = 3 x 3 x 3 x 5347

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 144362 and 144369 is 1