Greatest Common Factor of 144368 and 144375

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 144368, 144375 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144368 and 144375 is 7.

GCF(144368,144375) = 7

GCF of 144368 and 144375

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

GCF of:
and

Greatest Common Factor of 144368 and 144375

GCF of 144368 and 144375 is 7

Prime Factorization of 144368


2 144368
2 72184
2 36092
2 18046
7 9023
1289 1289
1

Prime factors of 144368 are 2,7,1289. Prime factorization of 144368 in exponential form is:

144368 = 24×71×12891

Prime Factorization of 144375


3 144375
5 48125
5 9625
5 1925
5 385
7 77
11 11
1

Prime factors of 144375 are 3,5,7,11. Prime factorization of 144375 in exponential form is:

144375 = 31×54×71×111

∴ So by taking common prime factors GCF of 144368 and 144375 is 7

Greatest Common Factor of 144368 and 144375 by matching factors method

Factors of 144368

List of positive integer factors of 144368 that divides 144368 without a remainder.

1,2,4,7,8,14,16,28,56,112,1289,2578,5156,9023,10312,18046,20624,36092,72184,144368

Factors of 144375

List of positive integer factors of 144375 that divides 144375 without a remainder.

1,3,5,7,11,15,21,25,33,35,55,75,77,105,125,165,175,231,275,375,385,525,625,825,875,1155,1375,1875,1925,2625,4125,4375,5775,6875,9625,13125,20625,28875,48125,144375

Greatest Common Factor

We found the factors and prime factorization of 144368 and 144375. The biggest common factor number is the GCF number.
So the greatest common factor 144368 and 144375 is 7.

Also check out the Least Common Multiple of 144368 and 144375

Properties of GCF 144368 and 144375

(i) The GCF of 144368 and 144375 is associative

GCF of 144368 and 144375 = GCF of 144375 and 144368

Related Greatest Common Factor of 144368

Related Greatest Common Factor of 144375

Frequently Asked Questions on GCF of 144368 and 144375

1. What is the GCF of 144368 and 144375?

Answer: GCF of 144368 and 144375 is 7.

2. What are the Factors of 144368?

Answer: Factors of 144368 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 1289, 2578, 5156, 9023, 10312, 18046, 20624, 36092, 72184, 144368. There are 20 integers that are factors of 144368. The greatest factor of 144368 is 144368.

3. What are the Factors of 144375?

Answer: Factors of 144375 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 125, 165, 175, 231, 275, 375, 385, 525, 625, 825, 875, 1155, 1375, 1875, 1925, 2625, 4125, 4375, 5775, 6875, 9625, 13125, 20625, 28875, 48125, 144375. There are 40 integers that are factors of 144375. The greatest factor of 144375 is 144375.

4. How to Find the GCF of 144368 and 144375?

Answer:

Greatest Common Factor of 144368 and 144375 = 7

Step 1: Find the prime factorization of 144368

144368 = 2 x 2 x 2 x 2 x 7 x 1289

Step 2: Find the prime factorization of 144375

144375 = 3 x 5 x 5 x 5 x 5 x 7 x 11

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 144368 and 144375 is 7