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 144347, 144355 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144347 and 144355 is 1.
GCF(144347,144355) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144347
7 | 144347 |
17 | 20621 |
1213 | 1213 |
1 |
Prime factors of 144347 are 7,17,1213. Prime factorization of 144347 in exponential form is:
144347 = 71×171×12131
Prime Factorization of 144355
5 | 144355 |
28871 | 28871 |
1 |
Prime factors of 144355 are 5,28871. Prime factorization of 144355 in exponential form is:
144355 = 51×288711
∴ So by taking common prime factors GCF of 144347 and 144355 is 1
Factors of 144347
List of positive integer factors of 144347 that divides 144347 without a remainder.
1,7,17,119,1213,8491,20621,144347
Factors of 144355
List of positive integer factors of 144355 that divides 144355 without a remainder.
1,5,28871,144355
Greatest Common Factor
We found the factors and prime factorization of 144347 and 144355. The biggest common factor number is the GCF number.
So the greatest common factor 144347 and 144355 is 1.
Also check out the Least Common Multiple of 144347 and 144355
(i) The GCF of 144347 and 144355 is associative
GCF of 144347 and 144355 = GCF of 144355 and 144347
1. What is the GCF of 144347 and 144355?
Answer: GCF of 144347 and 144355 is 1.
2. What are the Factors of 144347?
Answer: Factors of 144347 are 1, 7, 17, 119, 1213, 8491, 20621, 144347. There are 8 integers that are factors of 144347. The greatest factor of 144347 is 144347.
3. What are the Factors of 144355?
Answer: Factors of 144355 are 1, 5, 28871, 144355. There are 4 integers that are factors of 144355. The greatest factor of 144355 is 144355.
4. How to Find the GCF of 144347 and 144355?
Answer:
Greatest Common Factor of 144347 and 144355 = 1
Step 1: Find the prime factorization of 144347
144347 = 7 x 17 x 1213
Step 2: Find the prime factorization of 144355
144355 = 5 x 28871
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 144347 and 144355 is 1