Greatest Common Factor of 1360 and 1365

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 1360, 1365 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1360 and 1365 is 5.

GCF(1360,1365) = 5

GCF of 1360 and 1365

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

GCF of:
and

Greatest Common Factor of 1360 and 1365

GCF of 1360 and 1365 is 5

Prime Factorization of 1360


2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 1360 are 2,5,17. Prime factorization of 1360 in exponential form is:

1360 = 24×51×171

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

∴ So by taking common prime factors GCF of 1360 and 1365 is 5

Greatest Common Factor of 1360 and 1365 by matching factors method

Factors of 1360

List of positive integer factors of 1360 that divides 1360 without a remainder.

1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360

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

Greatest Common Factor

We found the factors and prime factorization of 1360 and 1365. The biggest common factor number is the GCF number.
So the greatest common factor 1360 and 1365 is 5.

Also check out the Least Common Multiple of 1360 and 1365

Properties of GCF 1360 and 1365

(i) The GCF of 1360 and 1365 is associative

GCF of 1360 and 1365 = GCF of 1365 and 1360

Related Greatest Common Factor of 1360

Related Greatest Common Factor of 1365

Frequently Asked Questions on GCF of 1360 and 1365

1. What is the GCF of 1360 and 1365?

Answer: GCF of 1360 and 1365 is 5.

2. What are the Factors of 1360?

Answer: Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. There are 20 integers that are factors of 1360. The greatest factor of 1360 is 1360.

3. 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.

4. How to Find the GCF of 1360 and 1365?

Answer:

Greatest Common Factor of 1360 and 1365 = 5

Step 1: Find the prime factorization of 1360

1360 = 2 x 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 1365

1365 = 3 x 5 x 7 x 13

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 1360 and 1365 is 5