Greatest Common Factor of 5365 and 5369

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, 5369 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5365 and 5369 is 1.

GCF(5365,5369) = 1

GCF of 5365 and 5369

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

GCF of:
and

Greatest Common Factor of 5365 and 5369

GCF of 5365 and 5369 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 5369


7 5369
13 767
59 59
1

Prime factors of 5369 are 7,13,59. Prime factorization of 5369 in exponential form is:

5369 = 71×131×591

∴ So by taking common prime factors GCF of 5365 and 5369 is 1

Greatest Common Factor of 5365 and 5369 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 5369

List of positive integer factors of 5369 that divides 5369 without a remainder.

1,7,13,59,91,413,767,5369

Greatest Common Factor

We found the factors and prime factorization of 5365 and 5369. The biggest common factor number is the GCF number.
So the greatest common factor 5365 and 5369 is 1.

Also check out the Least Common Multiple of 5365 and 5369

Properties of GCF 5365 and 5369

(i) The GCF of 5365 and 5369 is associative

GCF of 5365 and 5369 = GCF of 5369 and 5365

Related Greatest Common Factor of 5365

Related Greatest Common Factor of 5369

Frequently Asked Questions on GCF of 5365 and 5369

1. What is the GCF of 5365 and 5369?

Answer: GCF of 5365 and 5369 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 5369?

Answer: Factors of 5369 are 1, 7, 13, 59, 91, 413, 767, 5369. There are 8 integers that are factors of 5369. The greatest factor of 5369 is 5369.

4. How to Find the GCF of 5365 and 5369?

Answer:

Greatest Common Factor of 5365 and 5369 = 1

Step 1: Find the prime factorization of 5365

5365 = 5 x 29 x 37

Step 2: Find the prime factorization of 5369

5369 = 7 x 13 x 59

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 5369 is 1