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 144381, 144388 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144381 and 144388 is 1.
GCF(144381,144388) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144381
3 | 144381 |
17 | 48127 |
19 | 2831 |
149 | 149 |
1 |
Prime factors of 144381 are 3,17,19,149. Prime factorization of 144381 in exponential form is:
144381 = 31×171×191×1491
Prime Factorization of 144388
2 | 144388 |
2 | 72194 |
36097 | 36097 |
1 |
Prime factors of 144388 are 2,36097. Prime factorization of 144388 in exponential form is:
144388 = 22×360971
∴ So by taking common prime factors GCF of 144381 and 144388 is 1
Factors of 144381
List of positive integer factors of 144381 that divides 144381 without a remainder.
1,3,17,19,51,57,149,323,447,969,2533,2831,7599,8493,48127,144381
Factors of 144388
List of positive integer factors of 144388 that divides 144388 without a remainder.
1,2,4,36097,72194,144388
Greatest Common Factor
We found the factors and prime factorization of 144381 and 144388. The biggest common factor number is the GCF number.
So the greatest common factor 144381 and 144388 is 1.
Also check out the Least Common Multiple of 144381 and 144388
(i) The GCF of 144381 and 144388 is associative
GCF of 144381 and 144388 = GCF of 144388 and 144381
1. What is the GCF of 144381 and 144388?
Answer: GCF of 144381 and 144388 is 1.
2. What are the Factors of 144381?
Answer: Factors of 144381 are 1, 3, 17, 19, 51, 57, 149, 323, 447, 969, 2533, 2831, 7599, 8493, 48127, 144381. There are 16 integers that are factors of 144381. The greatest factor of 144381 is 144381.
3. What are the Factors of 144388?
Answer: Factors of 144388 are 1, 2, 4, 36097, 72194, 144388. There are 6 integers that are factors of 144388. The greatest factor of 144388 is 144388.
4. How to Find the GCF of 144381 and 144388?
Answer:
Greatest Common Factor of 144381 and 144388 = 1
Step 1: Find the prime factorization of 144381
144381 = 3 x 17 x 19 x 149
Step 2: Find the prime factorization of 144388
144388 = 2 x 2 x 36097
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 144381 and 144388 is 1