Greatest Common Factor of 1395 and 1399

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 1395, 1399 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1395 and 1399 is 1.

GCF(1395,1399) = 1

GCF of 1395 and 1399

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

GCF of:
and

Greatest Common Factor of 1395 and 1399

GCF of 1395 and 1399 is 1

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

Prime Factorization of 1399


1399 1399
1

Prime factors of 1399 are 1399. Prime factorization of 1399 in exponential form is:

1399 = 13991

∴ So by taking common prime factors GCF of 1395 and 1399 is 1

Greatest Common Factor of 1395 and 1399 by matching factors method

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

Factors of 1399

List of positive integer factors of 1399 that divides 1399 without a remainder.

1,1399

Greatest Common Factor

We found the factors and prime factorization of 1395 and 1399. The biggest common factor number is the GCF number.
So the greatest common factor 1395 and 1399 is 1.

Also check out the Least Common Multiple of 1395 and 1399

Properties of GCF 1395 and 1399

(i) The GCF of 1395 and 1399 is associative

GCF of 1395 and 1399 = GCF of 1399 and 1395

Related Greatest Common Factor of 1395

Related Greatest Common Factor of 1399

Frequently Asked Questions on GCF of 1395 and 1399

1. What is the GCF of 1395 and 1399?

Answer: GCF of 1395 and 1399 is 1.

2. 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.

3. What are the Factors of 1399?

Answer: Factors of 1399 are 1, 1399. There are 2 integers that are factors of 1399. The greatest factor of 1399 is 1399.

4. How to Find the GCF of 1395 and 1399?

Answer:

Greatest Common Factor of 1395 and 1399 = 1

Step 1: Find the prime factorization of 1395

1395 = 3 x 3 x 5 x 31

Step 2: Find the prime factorization of 1399

1399 = 1399

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1395 and 1399 is 1