Greatest Common Factor of 1365 and 1370

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, 1370 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1365 and 1370 is 5.

GCF(1365,1370) = 5

GCF of 1365 and 1370

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

GCF of:
and

Greatest Common Factor of 1365 and 1370

GCF of 1365 and 1370 is 5

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 1370


2 1370
5 685
137 137
1

Prime factors of 1370 are 2,5,137. Prime factorization of 1370 in exponential form is:

1370 = 21×51×1371

∴ So by taking common prime factors GCF of 1365 and 1370 is 5

Greatest Common Factor of 1365 and 1370 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 1370

List of positive integer factors of 1370 that divides 1370 without a remainder.

1,2,5,10,137,274,685,1370

Greatest Common Factor

We found the factors and prime factorization of 1365 and 1370. The biggest common factor number is the GCF number.
So the greatest common factor 1365 and 1370 is 5.

Also check out the Least Common Multiple of 1365 and 1370

Properties of GCF 1365 and 1370

(i) The GCF of 1365 and 1370 is associative

GCF of 1365 and 1370 = GCF of 1370 and 1365

Related Greatest Common Factor of 1365

Related Greatest Common Factor of 1370

Frequently Asked Questions on GCF of 1365 and 1370

1. What is the GCF of 1365 and 1370?

Answer: GCF of 1365 and 1370 is 5.

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 1370?

Answer: Factors of 1370 are 1, 2, 5, 10, 137, 274, 685, 1370. There are 8 integers that are factors of 1370. The greatest factor of 1370 is 1370.

4. How to Find the GCF of 1365 and 1370?

Answer:

Greatest Common Factor of 1365 and 1370 = 5

Step 1: Find the prime factorization of 1365

1365 = 3 x 5 x 7 x 13

Step 2: Find the prime factorization of 1370

1370 = 2 x 5 x 137

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1365 and 1370 is 5