Greatest Common Factor of 5313 and 5321

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, 5321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5313 and 5321 is 1.

GCF(5313,5321) = 1

GCF of 5313 and 5321

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

GCF of:
and

Greatest Common Factor of 5313 and 5321

GCF of 5313 and 5321 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 5321


17 5321
313 313
1

Prime factors of 5321 are 17,313. Prime factorization of 5321 in exponential form is:

5321 = 171×3131

∴ So by taking common prime factors GCF of 5313 and 5321 is 1

Greatest Common Factor of 5313 and 5321 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 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1,17,313,5321

Greatest Common Factor

We found the factors and prime factorization of 5313 and 5321. The biggest common factor number is the GCF number.
So the greatest common factor 5313 and 5321 is 1.

Also check out the Least Common Multiple of 5313 and 5321

Properties of GCF 5313 and 5321

(i) The GCF of 5313 and 5321 is associative

GCF of 5313 and 5321 = GCF of 5321 and 5313

Related Greatest Common Factor of 5313

Related Greatest Common Factor of 5321

Frequently Asked Questions on GCF of 5313 and 5321

1. What is the GCF of 5313 and 5321?

Answer: GCF of 5313 and 5321 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 5321?

Answer: Factors of 5321 are 1, 17, 313, 5321. There are 4 integers that are factors of 5321. The greatest factor of 5321 is 5321.

4. How to Find the GCF of 5313 and 5321?

Answer:

Greatest Common Factor of 5313 and 5321 = 1

Step 1: Find the prime factorization of 5313

5313 = 3 x 7 x 11 x 23

Step 2: Find the prime factorization of 5321

5321 = 17 x 313

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 5321 is 1