Greatest Common Factor of 5365 and 5370

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, 5370 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5365 and 5370 is 5.

GCF(5365,5370) = 5

GCF of 5365 and 5370

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

GCF of:
and

Greatest Common Factor of 5365 and 5370

GCF of 5365 and 5370 is 5

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 5370


2 5370
3 2685
5 895
179 179
1

Prime factors of 5370 are 2,3,5,179. Prime factorization of 5370 in exponential form is:

5370 = 21×31×51×1791

∴ So by taking common prime factors GCF of 5365 and 5370 is 5

Greatest Common Factor of 5365 and 5370 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 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370

Greatest Common Factor

We found the factors and prime factorization of 5365 and 5370. The biggest common factor number is the GCF number.
So the greatest common factor 5365 and 5370 is 5.

Also check out the Least Common Multiple of 5365 and 5370

Properties of GCF 5365 and 5370

(i) The GCF of 5365 and 5370 is associative

GCF of 5365 and 5370 = GCF of 5370 and 5365

Related Greatest Common Factor of 5365

Related Greatest Common Factor of 5370

Frequently Asked Questions on GCF of 5365 and 5370

1. What is the GCF of 5365 and 5370?

Answer: GCF of 5365 and 5370 is 5.

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 5370?

Answer: Factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370. There are 16 integers that are factors of 5370. The greatest factor of 5370 is 5370.

4. How to Find the GCF of 5365 and 5370?

Answer:

Greatest Common Factor of 5365 and 5370 = 5

Step 1: Find the prime factorization of 5365

5365 = 5 x 29 x 37

Step 2: Find the prime factorization of 5370

5370 = 2 x 3 x 5 x 179

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 5365 and 5370 is 5