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 144395, 144402 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144395 and 144402 is 1.
GCF(144395,144402) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144395
5 | 144395 |
28879 | 28879 |
1 |
Prime factors of 144395 are 5,28879. Prime factorization of 144395 in exponential form is:
144395 = 51×288791
Prime Factorization of 144402
2 | 144402 |
3 | 72201 |
41 | 24067 |
587 | 587 |
1 |
Prime factors of 144402 are 2,3,41,587. Prime factorization of 144402 in exponential form is:
144402 = 21×31×411×5871
∴ So by taking common prime factors GCF of 144395 and 144402 is 1
Factors of 144395
List of positive integer factors of 144395 that divides 144395 without a remainder.
1,5,28879,144395
Factors of 144402
List of positive integer factors of 144402 that divides 144402 without a remainder.
1,2,3,6,41,82,123,246,587,1174,1761,3522,24067,48134,72201,144402
Greatest Common Factor
We found the factors and prime factorization of 144395 and 144402. The biggest common factor number is the GCF number.
So the greatest common factor 144395 and 144402 is 1.
Also check out the Least Common Multiple of 144395 and 144402
(i) The GCF of 144395 and 144402 is associative
GCF of 144395 and 144402 = GCF of 144402 and 144395
1. What is the GCF of 144395 and 144402?
Answer: GCF of 144395 and 144402 is 1.
2. What are the Factors of 144395?
Answer: Factors of 144395 are 1, 5, 28879, 144395. There are 4 integers that are factors of 144395. The greatest factor of 144395 is 144395.
3. What are the Factors of 144402?
Answer: Factors of 144402 are 1, 2, 3, 6, 41, 82, 123, 246, 587, 1174, 1761, 3522, 24067, 48134, 72201, 144402. There are 16 integers that are factors of 144402. The greatest factor of 144402 is 144402.
4. How to Find the GCF of 144395 and 144402?
Answer:
Greatest Common Factor of 144395 and 144402 = 1
Step 1: Find the prime factorization of 144395
144395 = 5 x 28879
Step 2: Find the prime factorization of 144402
144402 = 2 x 3 x 41 x 587
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 144395 and 144402 is 1