Greatest Common Factor of 144398 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 144398, 144400 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144398 and 144400 is 2.

GCF(144398,144400) = 2

GCF of 144398 and 144400

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

GCF of:
and

Greatest Common Factor of 144398 and 144400

GCF of 144398 and 144400 is 2

Prime Factorization of 144398


2 144398
17 72199
31 4247
137 137
1

Prime factors of 144398 are 2,17,31,137. Prime factorization of 144398 in exponential form is:

144398 = 21×171×311×1371

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 144398 and 144400 is 2

Greatest Common Factor of 144398 and 144400 by matching factors method

Factors of 144398

List of positive integer factors of 144398 that divides 144398 without a remainder.

1,2,17,31,34,62,137,274,527,1054,2329,4247,4658,8494,72199,144398

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 144398 and 144400. The biggest common factor number is the GCF number.
So the greatest common factor 144398 and 144400 is 2.

Also check out the Least Common Multiple of 144398 and 144400

Properties of GCF 144398 and 144400

(i) The GCF of 144398 and 144400 is associative

GCF of 144398 and 144400 = GCF of 144400 and 144398

Related Greatest Common Factor of 144398

Related Greatest Common Factor of 144400

Frequently Asked Questions on GCF of 144398 and 144400

1. What is the GCF of 144398 and 144400?

Answer: GCF of 144398 and 144400 is 2.

2. What are the Factors of 144398?

Answer: Factors of 144398 are 1, 2, 17, 31, 34, 62, 137, 274, 527, 1054, 2329, 4247, 4658, 8494, 72199, 144398. There are 16 integers that are factors of 144398. The greatest factor of 144398 is 144398.

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 144398 and 144400?

Answer:

Greatest Common Factor of 144398 and 144400 = 2

Step 1: Find the prime factorization of 144398

144398 = 2 x 17 x 31 x 137

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 144398 and 144400 is 2