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 144392, 144400 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144392 and 144400 is 8.
GCF(144392,144400) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144392
2 | 144392 |
2 | 72196 |
2 | 36098 |
18049 | 18049 |
1 |
Prime factors of 144392 are 2,18049. Prime factorization of 144392 in exponential form is:
144392 = 23×180491
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 144392 and 144400 is 8
Factors of 144392
List of positive integer factors of 144392 that divides 144392 without a remainder.
1,2,4,8,18049,36098,72196,144392
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 144392 and 144400. The biggest common factor number is the GCF number.
So the greatest common factor 144392 and 144400 is 8.
Also check out the Least Common Multiple of 144392 and 144400
(i) The GCF of 144392 and 144400 is associative
GCF of 144392 and 144400 = GCF of 144400 and 144392
1. What is the GCF of 144392 and 144400?
Answer: GCF of 144392 and 144400 is 8.
2. What are the Factors of 144392?
Answer: Factors of 144392 are 1, 2, 4, 8, 18049, 36098, 72196, 144392. There are 8 integers that are factors of 144392. The greatest factor of 144392 is 144392.
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 144392 and 144400?
Answer:
Greatest Common Factor of 144392 and 144400 = 8
Step 1: Find the prime factorization of 144392
144392 = 2 x 2 x 2 x 18049
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 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 144392 and 144400 is 8