Greatest Common Factor of 144394 and 144400

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 144394, 144400 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144394 and 144400 is 2.

GCF(144394,144400) = 2

GCF of 144394 and 144400

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

GCF of:
and

Greatest Common Factor of 144394 and 144400

GCF of 144394 and 144400 is 2

Prime Factorization of 144394


2 144394
23 72197
43 3139
73 73
1

Prime factors of 144394 are 2,23,43,73. Prime factorization of 144394 in exponential form is:

144394 = 21×231×431×731

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

∴ So by taking common prime factors GCF of 144394 and 144400 is 2

Greatest Common Factor of 144394 and 144400 by matching factors method

Factors of 144394

List of positive integer factors of 144394 that divides 144394 without a remainder.

1,2,23,43,46,73,86,146,989,1679,1978,3139,3358,6278,72197,144394

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

Greatest Common Factor

We found the factors and prime factorization of 144394 and 144400. The biggest common factor number is the GCF number.
So the greatest common factor 144394 and 144400 is 2.

Also check out the Least Common Multiple of 144394 and 144400

Properties of GCF 144394 and 144400

(i) The GCF of 144394 and 144400 is associative

GCF of 144394 and 144400 = GCF of 144400 and 144394

Related Greatest Common Factor of 144394

Related Greatest Common Factor of 144400

Frequently Asked Questions on GCF of 144394 and 144400

1. What is the GCF of 144394 and 144400?

Answer: GCF of 144394 and 144400 is 2.

2. What are the Factors of 144394?

Answer: Factors of 144394 are 1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394. There are 16 integers that are factors of 144394. The greatest factor of 144394 is 144394.

3. 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.

4. How to Find the GCF of 144394 and 144400?

Answer:

Greatest Common Factor of 144394 and 144400 = 2

Step 1: Find the prime factorization of 144394

144394 = 2 x 23 x 43 x 73

Step 2: Find the prime factorization of 144400

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 144394 and 144400 is 2