Greatest Common Factor of 144344 and 144352

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 144344, 144352 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144344 and 144352 is 8.

GCF(144344,144352) = 8

GCF of 144344 and 144352

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

GCF of:
and

Greatest Common Factor of 144344 and 144352

GCF of 144344 and 144352 is 8

Prime Factorization of 144344


2 144344
2 72172
2 36086
18043 18043
1

Prime factors of 144344 are 2,18043. Prime factorization of 144344 in exponential form is:

144344 = 23×180431

Prime Factorization of 144352


2 144352
2 72176
2 36088
2 18044
2 9022
13 4511
347 347
1

Prime factors of 144352 are 2,13,347. Prime factorization of 144352 in exponential form is:

144352 = 25×131×3471

∴ So by taking common prime factors GCF of 144344 and 144352 is 8

Greatest Common Factor of 144344 and 144352 by matching factors method

Factors of 144344

List of positive integer factors of 144344 that divides 144344 without a remainder.

1,2,4,8,18043,36086,72172,144344

Factors of 144352

List of positive integer factors of 144352 that divides 144352 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,347,416,694,1388,2776,4511,5552,9022,11104,18044,36088,72176,144352

Greatest Common Factor

We found the factors and prime factorization of 144344 and 144352. The biggest common factor number is the GCF number.
So the greatest common factor 144344 and 144352 is 8.

Also check out the Least Common Multiple of 144344 and 144352

Properties of GCF 144344 and 144352

(i) The GCF of 144344 and 144352 is associative

GCF of 144344 and 144352 = GCF of 144352 and 144344

Related Greatest Common Factor of 144344

Related Greatest Common Factor of 144352

Frequently Asked Questions on GCF of 144344 and 144352

1. What is the GCF of 144344 and 144352?

Answer: GCF of 144344 and 144352 is 8.

2. What are the Factors of 144344?

Answer: Factors of 144344 are 1, 2, 4, 8, 18043, 36086, 72172, 144344. There are 8 integers that are factors of 144344. The greatest factor of 144344 is 144344.

3. What are the Factors of 144352?

Answer: Factors of 144352 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 347, 416, 694, 1388, 2776, 4511, 5552, 9022, 11104, 18044, 36088, 72176, 144352. There are 24 integers that are factors of 144352. The greatest factor of 144352 is 144352.

4. How to Find the GCF of 144344 and 144352?

Answer:

Greatest Common Factor of 144344 and 144352 = 8

Step 1: Find the prime factorization of 144344

144344 = 2 x 2 x 2 x 18043

Step 2: Find the prime factorization of 144352

144352 = 2 x 2 x 2 x 2 x 2 x 13 x 347

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 144344 and 144352 is 8