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 4383, 4389 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4383 and 4389 is 3.
GCF(4383,4389) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4383
3 | 4383 |
3 | 1461 |
487 | 487 |
1 |
Prime factors of 4383 are 3,487. Prime factorization of 4383 in exponential form is:
4383 = 32×4871
Prime Factorization of 4389
3 | 4389 |
7 | 1463 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 4389 are 3,7,11,19. Prime factorization of 4389 in exponential form is:
4389 = 31×71×111×191
∴ So by taking common prime factors GCF of 4383 and 4389 is 3
Factors of 4383
List of positive integer factors of 4383 that divides 4383 without a remainder.
1,3,9,487,1461,4383
Factors of 4389
List of positive integer factors of 4389 that divides 4389 without a remainder.
1,3,7,11,19,21,33,57,77,133,209,231,399,627,1463,4389
Greatest Common Factor
We found the factors and prime factorization of 4383 and 4389. The biggest common factor number is the GCF number.
So the greatest common factor 4383 and 4389 is 3.
Also check out the Least Common Multiple of 4383 and 4389
(i) The GCF of 4383 and 4389 is associative
GCF of 4383 and 4389 = GCF of 4389 and 4383
1. What is the GCF of 4383 and 4389?
Answer: GCF of 4383 and 4389 is 3.
2. What are the Factors of 4383?
Answer: Factors of 4383 are 1, 3, 9, 487, 1461, 4383. There are 6 integers that are factors of 4383. The greatest factor of 4383 is 4383.
3. What are the Factors of 4389?
Answer: Factors of 4389 are 1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 399, 627, 1463, 4389. There are 16 integers that are factors of 4389. The greatest factor of 4389 is 4389.
4. How to Find the GCF of 4383 and 4389?
Answer:
Greatest Common Factor of 4383 and 4389 = 3
Step 1: Find the prime factorization of 4383
4383 = 3 x 3 x 487
Step 2: Find the prime factorization of 4389
4389 = 3 x 7 x 11 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 4383 and 4389 is 3