Greatest Common Factor of 144400 and 144408

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 144400, 144408 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144400 and 144408 is 8.

GCF(144400,144408) = 8

GCF of 144400 and 144408

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

GCF of:
and

Greatest Common Factor of 144400 and 144408

GCF of 144400 and 144408 is 8

Prime Factorization of 144400


2 144400
2 72200
2 36100
2 18050
5 9025
5 1805
19 361
19 19
1

Prime factors of 144400 are 2,5,19. Prime factorization of 144400 in exponential form is:

144400 = 24×52×192

Prime Factorization of 144408


2 144408
2 72204
2 36102
3 18051
11 6017
547 547
1

Prime factors of 144408 are 2,3,11,547. Prime factorization of 144408 in exponential form is:

144408 = 23×31×111×5471

∴ So by taking common prime factors GCF of 144400 and 144408 is 8

Greatest Common Factor of 144400 and 144408 by matching factors method

Factors of 144400

List of positive integer factors of 144400 that divides 144400 without a remainder.

1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,361,380,400,475,722,760,950,1444,1520,1805,1900,2888,3610,3800,5776,7220,7600,9025,14440,18050,28880,36100,72200,144400

Factors of 144408

List of positive integer factors of 144408 that divides 144408 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264,547,1094,1641,2188,3282,4376,6017,6564,12034,13128,18051,24068,36102,48136,72204,144408

Greatest Common Factor

We found the factors and prime factorization of 144400 and 144408. The biggest common factor number is the GCF number.
So the greatest common factor 144400 and 144408 is 8.

Also check out the Least Common Multiple of 144400 and 144408

Properties of GCF 144400 and 144408

(i) The GCF of 144400 and 144408 is associative

GCF of 144400 and 144408 = GCF of 144408 and 144400

Related Greatest Common Factor of 144400

Related Greatest Common Factor of 144408

Frequently Asked Questions on GCF of 144400 and 144408

1. What is the GCF of 144400 and 144408?

Answer: GCF of 144400 and 144408 is 8.

2. What are the Factors of 144400?

Answer: Factors of 144400 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 361, 380, 400, 475, 722, 760, 950, 1444, 1520, 1805, 1900, 2888, 3610, 3800, 5776, 7220, 7600, 9025, 14440, 18050, 28880, 36100, 72200, 144400. There are 45 integers that are factors of 144400. The greatest factor of 144400 is 144400.

3. What are the Factors of 144408?

Answer: Factors of 144408 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 547, 1094, 1641, 2188, 3282, 4376, 6017, 6564, 12034, 13128, 18051, 24068, 36102, 48136, 72204, 144408. There are 32 integers that are factors of 144408. The greatest factor of 144408 is 144408.

4. How to Find the GCF of 144400 and 144408?

Answer:

Greatest Common Factor of 144400 and 144408 = 8

Step 1: Find the prime factorization of 144400

144400 = 2 x 2 x 2 x 2 x 5 x 5 x 19 x 19

Step 2: Find the prime factorization of 144408

144408 = 2 x 2 x 2 x 3 x 11 x 547

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 144400 and 144408 is 8