Greatest Common Factor of 5313 and 5318

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 5313, 5318 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5313 and 5318 is 1.

GCF(5313,5318) = 1

GCF of 5313 and 5318

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

GCF of:
and

Greatest Common Factor of 5313 and 5318

GCF of 5313 and 5318 is 1

Prime Factorization of 5313


3 5313
7 1771
11 253
23 23
1

Prime factors of 5313 are 3,7,11,23. Prime factorization of 5313 in exponential form is:

5313 = 31×71×111×231

Prime Factorization of 5318


2 5318
2659 2659
1

Prime factors of 5318 are 2,2659. Prime factorization of 5318 in exponential form is:

5318 = 21×26591

∴ So by taking common prime factors GCF of 5313 and 5318 is 1

Greatest Common Factor of 5313 and 5318 by matching factors method

Factors of 5313

List of positive integer factors of 5313 that divides 5313 without a remainder.

1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313

Factors of 5318

List of positive integer factors of 5318 that divides 5318 without a remainder.

1,2,2659,5318

Greatest Common Factor

We found the factors and prime factorization of 5313 and 5318. The biggest common factor number is the GCF number.
So the greatest common factor 5313 and 5318 is 1.

Also check out the Least Common Multiple of 5313 and 5318

Properties of GCF 5313 and 5318

(i) The GCF of 5313 and 5318 is associative

GCF of 5313 and 5318 = GCF of 5318 and 5313

Related Greatest Common Factor of 5313

Related Greatest Common Factor of 5318

Frequently Asked Questions on GCF of 5313 and 5318

1. What is the GCF of 5313 and 5318?

Answer: GCF of 5313 and 5318 is 1.

2. What are the Factors of 5313?

Answer: Factors of 5313 are 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313. There are 16 integers that are factors of 5313. The greatest factor of 5313 is 5313.

3. What are the Factors of 5318?

Answer: Factors of 5318 are 1, 2, 2659, 5318. There are 4 integers that are factors of 5318. The greatest factor of 5318 is 5318.

4. How to Find the GCF of 5313 and 5318?

Answer:

Greatest Common Factor of 5313 and 5318 = 1

Step 1: Find the prime factorization of 5313

5313 = 3 x 7 x 11 x 23

Step 2: Find the prime factorization of 5318

5318 = 2 x 2659

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 5313 and 5318 is 1