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 144376, 144380 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144376 and 144380 is 4.
GCF(144376,144380) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144376
2 | 144376 |
2 | 72188 |
2 | 36094 |
18047 | 18047 |
1 |
Prime factors of 144376 are 2,18047. Prime factorization of 144376 in exponential form is:
144376 = 23×180471
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
∴ So by taking common prime factors GCF of 144376 and 144380 is 4
Factors of 144376
List of positive integer factors of 144376 that divides 144376 without a remainder.
1,2,4,8,18047,36094,72188,144376
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
Greatest Common Factor
We found the factors and prime factorization of 144376 and 144380. The biggest common factor number is the GCF number.
So the greatest common factor 144376 and 144380 is 4.
Also check out the Least Common Multiple of 144376 and 144380
(i) The GCF of 144376 and 144380 is associative
GCF of 144376 and 144380 = GCF of 144380 and 144376
1. What is the GCF of 144376 and 144380?
Answer: GCF of 144376 and 144380 is 4.
2. What are the Factors of 144376?
Answer: Factors of 144376 are 1, 2, 4, 8, 18047, 36094, 72188, 144376. There are 8 integers that are factors of 144376. The greatest factor of 144376 is 144376.
3. 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.
4. How to Find the GCF of 144376 and 144380?
Answer:
Greatest Common Factor of 144376 and 144380 = 4
Step 1: Find the prime factorization of 144376
144376 = 2 x 2 x 2 x 18047
Step 2: Find the prime factorization of 144380
144380 = 2 x 2 x 5 x 7219
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 144376 and 144380 is 4