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 144382, 144387 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144382 and 144387 is 1.
GCF(144382,144387) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144382
2 | 144382 |
7 | 72191 |
10313 | 10313 |
1 |
Prime factors of 144382 are 2,7,10313. Prime factorization of 144382 in exponential form is:
144382 = 21×71×103131
Prime Factorization of 144387
3 | 144387 |
3 | 48129 |
61 | 16043 |
263 | 263 |
1 |
Prime factors of 144387 are 3,61,263. Prime factorization of 144387 in exponential form is:
144387 = 32×611×2631
∴ So by taking common prime factors GCF of 144382 and 144387 is 1
Factors of 144382
List of positive integer factors of 144382 that divides 144382 without a remainder.
1,2,7,14,10313,20626,72191,144382
Factors of 144387
List of positive integer factors of 144387 that divides 144387 without a remainder.
1,3,9,61,183,263,549,789,2367,16043,48129,144387
Greatest Common Factor
We found the factors and prime factorization of 144382 and 144387. The biggest common factor number is the GCF number.
So the greatest common factor 144382 and 144387 is 1.
Also check out the Least Common Multiple of 144382 and 144387
(i) The GCF of 144382 and 144387 is associative
GCF of 144382 and 144387 = GCF of 144387 and 144382
1. What is the GCF of 144382 and 144387?
Answer: GCF of 144382 and 144387 is 1.
2. What are the Factors of 144382?
Answer: Factors of 144382 are 1, 2, 7, 14, 10313, 20626, 72191, 144382. There are 8 integers that are factors of 144382. The greatest factor of 144382 is 144382.
3. What are the Factors of 144387?
Answer: Factors of 144387 are 1, 3, 9, 61, 183, 263, 549, 789, 2367, 16043, 48129, 144387. There are 12 integers that are factors of 144387. The greatest factor of 144387 is 144387.
4. How to Find the GCF of 144382 and 144387?
Answer:
Greatest Common Factor of 144382 and 144387 = 1
Step 1: Find the prime factorization of 144382
144382 = 2 x 7 x 10313
Step 2: Find the prime factorization of 144387
144387 = 3 x 3 x 61 x 263
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 144382 and 144387 is 1