Greatest Common Factor of 1365 and 1369

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 1365, 1369 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1365 and 1369 is 1.

GCF(1365,1369) = 1

GCF of 1365 and 1369

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

GCF of:
and

Greatest Common Factor of 1365 and 1369

GCF of 1365 and 1369 is 1

Prime Factorization of 1365


3 1365
5 455
7 91
13 13
1

Prime factors of 1365 are 3,5,7,13. Prime factorization of 1365 in exponential form is:

1365 = 31×51×71×131

Prime Factorization of 1369


37 1369
37 37
1

Prime factors of 1369 are 37. Prime factorization of 1369 in exponential form is:

1369 = 372

∴ So by taking common prime factors GCF of 1365 and 1369 is 1

Greatest Common Factor of 1365 and 1369 by matching factors method

Factors of 1365

List of positive integer factors of 1365 that divides 1365 without a remainder.

1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1,37,1369

Greatest Common Factor

We found the factors and prime factorization of 1365 and 1369. The biggest common factor number is the GCF number.
So the greatest common factor 1365 and 1369 is 1.

Also check out the Least Common Multiple of 1365 and 1369

Properties of GCF 1365 and 1369

(i) The GCF of 1365 and 1369 is associative

GCF of 1365 and 1369 = GCF of 1369 and 1365

Related Greatest Common Factor of 1365

Related Greatest Common Factor of 1369

Frequently Asked Questions on GCF of 1365 and 1369

1. What is the GCF of 1365 and 1369?

Answer: GCF of 1365 and 1369 is 1.

2. What are the Factors of 1365?

Answer: Factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365. There are 16 integers that are factors of 1365. The greatest factor of 1365 is 1365.

3. What are the Factors of 1369?

Answer: Factors of 1369 are 1, 37, 1369. There are 3 integers that are factors of 1369. The greatest factor of 1369 is 1369.

4. How to Find the GCF of 1365 and 1369?

Answer:

Greatest Common Factor of 1365 and 1369 = 1

Step 1: Find the prime factorization of 1365

1365 = 3 x 5 x 7 x 13

Step 2: Find the prime factorization of 1369

1369 = 37 x 37

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 1365 and 1369 is 1