Greatest Common Factor of 1389 and 1395

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 1389, 1395 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1389 and 1395 is 3.

GCF(1389,1395) = 3

GCF of 1389 and 1395

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1389 and 1395

GCF of 1389 and 1395 is 3

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

Prime Factorization of 1395


3 1395
3 465
5 155
31 31
1

Prime factors of 1395 are 3,5,31. Prime factorization of 1395 in exponential form is:

1395 = 32×51×311

∴ So by taking common prime factors GCF of 1389 and 1395 is 3

Greatest Common Factor of 1389 and 1395 by matching factors method

Factors of 1389

List of positive integer factors of 1389 that divides 1389 without a remainder.

1,3,463,1389

Factors of 1395

List of positive integer factors of 1395 that divides 1395 without a remainder.

1,3,5,9,15,31,45,93,155,279,465,1395

Greatest Common Factor

We found the factors and prime factorization of 1389 and 1395. The biggest common factor number is the GCF number.
So the greatest common factor 1389 and 1395 is 3.

Also check out the Least Common Multiple of 1389 and 1395

Properties of GCF 1389 and 1395

(i) The GCF of 1389 and 1395 is associative

GCF of 1389 and 1395 = GCF of 1395 and 1389

Related Greatest Common Factor of 1389

Related Greatest Common Factor of 1395

Frequently Asked Questions on GCF of 1389 and 1395

1. What is the GCF of 1389 and 1395?

Answer: GCF of 1389 and 1395 is 3.

2. 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.

3. What are the Factors of 1395?

Answer: Factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395. There are 12 integers that are factors of 1395. The greatest factor of 1395 is 1395.

4. How to Find the GCF of 1389 and 1395?

Answer:

Greatest Common Factor of 1389 and 1395 = 3

Step 1: Find the prime factorization of 1389

1389 = 3 x 463

Step 2: Find the prime factorization of 1395

1395 = 3 x 3 x 5 x 31

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 1389 and 1395 is 3