Greatest Common Factor of 5313 and 5320

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, 5320 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5313 and 5320 is 7.

GCF(5313,5320) = 7

GCF of 5313 and 5320

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

GCF of:
and

Greatest Common Factor of 5313 and 5320

GCF of 5313 and 5320 is 7

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 5320


2 5320
2 2660
2 1330
5 665
7 133
19 19
1

Prime factors of 5320 are 2,5,7,19. Prime factorization of 5320 in exponential form is:

5320 = 23×51×71×191

∴ So by taking common prime factors GCF of 5313 and 5320 is 7

Greatest Common Factor of 5313 and 5320 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 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320

Greatest Common Factor

We found the factors and prime factorization of 5313 and 5320. The biggest common factor number is the GCF number.
So the greatest common factor 5313 and 5320 is 7.

Also check out the Least Common Multiple of 5313 and 5320

Properties of GCF 5313 and 5320

(i) The GCF of 5313 and 5320 is associative

GCF of 5313 and 5320 = GCF of 5320 and 5313

Related Greatest Common Factor of 5313

Related Greatest Common Factor of 5320

Frequently Asked Questions on GCF of 5313 and 5320

1. What is the GCF of 5313 and 5320?

Answer: GCF of 5313 and 5320 is 7.

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 5320?

Answer: Factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320. There are 32 integers that are factors of 5320. The greatest factor of 5320 is 5320.

4. How to Find the GCF of 5313 and 5320?

Answer:

Greatest Common Factor of 5313 and 5320 = 7

Step 1: Find the prime factorization of 5313

5313 = 3 x 7 x 11 x 23

Step 2: Find the prime factorization of 5320

5320 = 2 x 2 x 2 x 5 x 7 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 5313 and 5320 is 7