Greatest Common Factor of 5306 and 5313

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 5306, 5313 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5306 and 5313 is 7.

GCF(5306,5313) = 7

GCF of 5306 and 5313

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

GCF of:
and

Greatest Common Factor of 5306 and 5313

GCF of 5306 and 5313 is 7

Prime Factorization of 5306


2 5306
7 2653
379 379
1

Prime factors of 5306 are 2,7,379. Prime factorization of 5306 in exponential form is:

5306 = 21×71×3791

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

∴ So by taking common prime factors GCF of 5306 and 5313 is 7

Greatest Common Factor of 5306 and 5313 by matching factors method

Factors of 5306

List of positive integer factors of 5306 that divides 5306 without a remainder.

1,2,7,14,379,758,2653,5306

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

Greatest Common Factor

We found the factors and prime factorization of 5306 and 5313. The biggest common factor number is the GCF number.
So the greatest common factor 5306 and 5313 is 7.

Also check out the Least Common Multiple of 5306 and 5313

Properties of GCF 5306 and 5313

(i) The GCF of 5306 and 5313 is associative

GCF of 5306 and 5313 = GCF of 5313 and 5306

Related Greatest Common Factor of 5306

Related Greatest Common Factor of 5313

Frequently Asked Questions on GCF of 5306 and 5313

1. What is the GCF of 5306 and 5313?

Answer: GCF of 5306 and 5313 is 7.

2. What are the Factors of 5306?

Answer: Factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306. There are 8 integers that are factors of 5306. The greatest factor of 5306 is 5306.

3. 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.

4. How to Find the GCF of 5306 and 5313?

Answer:

Greatest Common Factor of 5306 and 5313 = 7

Step 1: Find the prime factorization of 5306

5306 = 2 x 7 x 379

Step 2: Find the prime factorization of 5313

5313 = 3 x 7 x 11 x 23

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 5306 and 5313 is 7