Greatest Common Factor of 1365 and 1371

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, 1371 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1365 and 1371 is 3.

GCF(1365,1371) = 3

GCF of 1365 and 1371

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

GCF of:
and

Greatest Common Factor of 1365 and 1371

GCF of 1365 and 1371 is 3

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 1371


3 1371
457 457
1

Prime factors of 1371 are 3,457. Prime factorization of 1371 in exponential form is:

1371 = 31×4571

∴ So by taking common prime factors GCF of 1365 and 1371 is 3

Greatest Common Factor of 1365 and 1371 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 1371

List of positive integer factors of 1371 that divides 1371 without a remainder.

1,3,457,1371

Greatest Common Factor

We found the factors and prime factorization of 1365 and 1371. The biggest common factor number is the GCF number.
So the greatest common factor 1365 and 1371 is 3.

Also check out the Least Common Multiple of 1365 and 1371

Properties of GCF 1365 and 1371

(i) The GCF of 1365 and 1371 is associative

GCF of 1365 and 1371 = GCF of 1371 and 1365

Related Greatest Common Factor of 1365

Related Greatest Common Factor of 1371

Frequently Asked Questions on GCF of 1365 and 1371

1. What is the GCF of 1365 and 1371?

Answer: GCF of 1365 and 1371 is 3.

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 1371?

Answer: Factors of 1371 are 1, 3, 457, 1371. There are 4 integers that are factors of 1371. The greatest factor of 1371 is 1371.

4. How to Find the GCF of 1365 and 1371?

Answer:

Greatest Common Factor of 1365 and 1371 = 3

Step 1: Find the prime factorization of 1365

1365 = 3 x 5 x 7 x 13

Step 2: Find the prime factorization of 1371

1371 = 3 x 457

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 1365 and 1371 is 3