Greatest Common Factor of 144375 and 144378

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 144375, 144378 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144375 and 144378 is 3.

GCF(144375,144378) = 3

GCF of 144375 and 144378

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

GCF of:
and

Greatest Common Factor of 144375 and 144378

GCF of 144375 and 144378 is 3

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

Prime Factorization of 144378


2 144378
3 72189
3 24063
13 8021
617 617
1

Prime factors of 144378 are 2,3,13,617. Prime factorization of 144378 in exponential form is:

144378 = 21×32×131×6171

∴ So by taking common prime factors GCF of 144375 and 144378 is 3

Greatest Common Factor of 144375 and 144378 by matching factors method

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

Factors of 144378

List of positive integer factors of 144378 that divides 144378 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234,617,1234,1851,3702,5553,8021,11106,16042,24063,48126,72189,144378

Greatest Common Factor

We found the factors and prime factorization of 144375 and 144378. The biggest common factor number is the GCF number.
So the greatest common factor 144375 and 144378 is 3.

Also check out the Least Common Multiple of 144375 and 144378

Properties of GCF 144375 and 144378

(i) The GCF of 144375 and 144378 is associative

GCF of 144375 and 144378 = GCF of 144378 and 144375

Related Greatest Common Factor of 144375

Related Greatest Common Factor of 144378

Frequently Asked Questions on GCF of 144375 and 144378

1. What is the GCF of 144375 and 144378?

Answer: GCF of 144375 and 144378 is 3.

2. 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.

3. What are the Factors of 144378?

Answer: Factors of 144378 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 617, 1234, 1851, 3702, 5553, 8021, 11106, 16042, 24063, 48126, 72189, 144378. There are 24 integers that are factors of 144378. The greatest factor of 144378 is 144378.

4. How to Find the GCF of 144375 and 144378?

Answer:

Greatest Common Factor of 144375 and 144378 = 3

Step 1: Find the prime factorization of 144375

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

Step 2: Find the prime factorization of 144378

144378 = 2 x 3 x 3 x 13 x 617

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

GCF = 3

Step 4: Therefore, the greatest common factor of 144375 and 144378 is 3