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 144393, 144399 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144393 and 144399 is 3.
GCF(144393,144399) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144393
3 | 144393 |
48131 | 48131 |
1 |
Prime factors of 144393 are 3,48131. Prime factorization of 144393 in exponential form is:
144393 = 31×481311
Prime Factorization of 144399
3 | 144399 |
127 | 48133 |
379 | 379 |
1 |
Prime factors of 144399 are 3,127,379. Prime factorization of 144399 in exponential form is:
144399 = 31×1271×3791
∴ So by taking common prime factors GCF of 144393 and 144399 is 3
Factors of 144393
List of positive integer factors of 144393 that divides 144393 without a remainder.
1,3,48131,144393
Factors of 144399
List of positive integer factors of 144399 that divides 144399 without a remainder.
1,3,127,379,381,1137,48133,144399
Greatest Common Factor
We found the factors and prime factorization of 144393 and 144399. The biggest common factor number is the GCF number.
So the greatest common factor 144393 and 144399 is 3.
Also check out the Least Common Multiple of 144393 and 144399
(i) The GCF of 144393 and 144399 is associative
GCF of 144393 and 144399 = GCF of 144399 and 144393
1. What is the GCF of 144393 and 144399?
Answer: GCF of 144393 and 144399 is 3.
2. What are the Factors of 144393?
Answer: Factors of 144393 are 1, 3, 48131, 144393. There are 4 integers that are factors of 144393. The greatest factor of 144393 is 144393.
3. What are the Factors of 144399?
Answer: Factors of 144399 are 1, 3, 127, 379, 381, 1137, 48133, 144399. There are 8 integers that are factors of 144399. The greatest factor of 144399 is 144399.
4. How to Find the GCF of 144393 and 144399?
Answer:
Greatest Common Factor of 144393 and 144399 = 3
Step 1: Find the prime factorization of 144393
144393 = 3 x 48131
Step 2: Find the prime factorization of 144399
144399 = 3 x 127 x 379
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 144393 and 144399 is 3