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 1383, 1389 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1383 and 1389 is 3.
GCF(1383,1389) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1383
3 | 1383 |
461 | 461 |
1 |
Prime factors of 1383 are 3,461. Prime factorization of 1383 in exponential form is:
1383 = 31×4611
Prime Factorization of 1389
3 | 1389 |
463 | 463 |
1 |
Prime factors of 1389 are 3,463. Prime factorization of 1389 in exponential form is:
1389 = 31×4631
∴ So by taking common prime factors GCF of 1383 and 1389 is 3
Factors of 1383
List of positive integer factors of 1383 that divides 1383 without a remainder.
1,3,461,1383
Factors of 1389
List of positive integer factors of 1389 that divides 1389 without a remainder.
1,3,463,1389
Greatest Common Factor
We found the factors and prime factorization of 1383 and 1389. The biggest common factor number is the GCF number.
So the greatest common factor 1383 and 1389 is 3.
Also check out the Least Common Multiple of 1383 and 1389
(i) The GCF of 1383 and 1389 is associative
GCF of 1383 and 1389 = GCF of 1389 and 1383
1. What is the GCF of 1383 and 1389?
Answer: GCF of 1383 and 1389 is 3.
2. What are the Factors of 1383?
Answer: Factors of 1383 are 1, 3, 461, 1383. There are 4 integers that are factors of 1383. The greatest factor of 1383 is 1383.
3. What are the Factors of 1389?
Answer: Factors of 1389 are 1, 3, 463, 1389. There are 4 integers that are factors of 1389. The greatest factor of 1389 is 1389.
4. How to Find the GCF of 1383 and 1389?
Answer:
Greatest Common Factor of 1383 and 1389 = 3
Step 1: Find the prime factorization of 1383
1383 = 3 x 461
Step 2: Find the prime factorization of 1389
1389 = 3 x 463
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 1383 and 1389 is 3