Greatest Common Factor of 5365 and 5366

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 5365, 5366 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5365 and 5366 is 1.

GCF(5365,5366) = 1

GCF of 5365 and 5366

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

GCF of:
and

Greatest Common Factor of 5365 and 5366

GCF of 5365 and 5366 is 1

Prime Factorization of 5365


5 5365
29 1073
37 37
1

Prime factors of 5365 are 5,29,37. Prime factorization of 5365 in exponential form is:

5365 = 51×291×371

Prime Factorization of 5366


2 5366
2683 2683
1

Prime factors of 5366 are 2,2683. Prime factorization of 5366 in exponential form is:

5366 = 21×26831

∴ So by taking common prime factors GCF of 5365 and 5366 is 1

Greatest Common Factor of 5365 and 5366 by matching factors method

Factors of 5365

List of positive integer factors of 5365 that divides 5365 without a remainder.

1,5,29,37,145,185,1073,5365

Factors of 5366

List of positive integer factors of 5366 that divides 5366 without a remainder.

1,2,2683,5366

Greatest Common Factor

We found the factors and prime factorization of 5365 and 5366. The biggest common factor number is the GCF number.
So the greatest common factor 5365 and 5366 is 1.

Also check out the Least Common Multiple of 5365 and 5366

Properties of GCF 5365 and 5366

(i) The GCF of 5365 and 5366 is associative

GCF of 5365 and 5366 = GCF of 5366 and 5365

Related Greatest Common Factor of 5365

Related Greatest Common Factor of 5366

Frequently Asked Questions on GCF of 5365 and 5366

1. What is the GCF of 5365 and 5366?

Answer: GCF of 5365 and 5366 is 1.

2. What are the Factors of 5365?

Answer: Factors of 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365. There are 8 integers that are factors of 5365. The greatest factor of 5365 is 5365.

3. What are the Factors of 5366?

Answer: Factors of 5366 are 1, 2, 2683, 5366. There are 4 integers that are factors of 5366. The greatest factor of 5366 is 5366.

4. How to Find the GCF of 5365 and 5366?

Answer:

Greatest Common Factor of 5365 and 5366 = 1

Step 1: Find the prime factorization of 5365

5365 = 5 x 29 x 37

Step 2: Find the prime factorization of 5366

5366 = 2 x 2683

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 5365 and 5366 is 1