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 144380, 144385 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144380 and 144385 is 5.
GCF(144380,144385) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144380
2 | 144380 |
2 | 72190 |
5 | 36095 |
7219 | 7219 |
1 |
Prime factors of 144380 are 2,5,7219. Prime factorization of 144380 in exponential form is:
144380 = 22×51×72191
Prime Factorization of 144385
5 | 144385 |
67 | 28877 |
431 | 431 |
1 |
Prime factors of 144385 are 5,67,431. Prime factorization of 144385 in exponential form is:
144385 = 51×671×4311
∴ So by taking common prime factors GCF of 144380 and 144385 is 5
Factors of 144380
List of positive integer factors of 144380 that divides 144380 without a remainder.
1,2,4,5,10,20,7219,14438,28876,36095,72190,144380
Factors of 144385
List of positive integer factors of 144385 that divides 144385 without a remainder.
1,5,67,335,431,2155,28877,144385
Greatest Common Factor
We found the factors and prime factorization of 144380 and 144385. The biggest common factor number is the GCF number.
So the greatest common factor 144380 and 144385 is 5.
Also check out the Least Common Multiple of 144380 and 144385
(i) The GCF of 144380 and 144385 is associative
GCF of 144380 and 144385 = GCF of 144385 and 144380
1. What is the GCF of 144380 and 144385?
Answer: GCF of 144380 and 144385 is 5.
2. What are the Factors of 144380?
Answer: Factors of 144380 are 1, 2, 4, 5, 10, 20, 7219, 14438, 28876, 36095, 72190, 144380. There are 12 integers that are factors of 144380. The greatest factor of 144380 is 144380.
3. What are the Factors of 144385?
Answer: Factors of 144385 are 1, 5, 67, 335, 431, 2155, 28877, 144385. There are 8 integers that are factors of 144385. The greatest factor of 144385 is 144385.
4. How to Find the GCF of 144380 and 144385?
Answer:
Greatest Common Factor of 144380 and 144385 = 5
Step 1: Find the prime factorization of 144380
144380 = 2 x 2 x 5 x 7219
Step 2: Find the prime factorization of 144385
144385 = 5 x 67 x 431
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 144380 and 144385 is 5