Greatest Common Factor of 5299 and 5306

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 5299, 5306 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5299 and 5306 is 7.

GCF(5299,5306) = 7

GCF of 5299 and 5306

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

GCF of:
and

Greatest Common Factor of 5299 and 5306

GCF of 5299 and 5306 is 7

Prime Factorization of 5299


7 5299
757 757
1

Prime factors of 5299 are 7,757. Prime factorization of 5299 in exponential form is:

5299 = 71×7571

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

∴ So by taking common prime factors GCF of 5299 and 5306 is 7

Greatest Common Factor of 5299 and 5306 by matching factors method

Factors of 5299

List of positive integer factors of 5299 that divides 5299 without a remainder.

1,7,757,5299

Factors of 5306

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

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

Greatest Common Factor

We found the factors and prime factorization of 5299 and 5306. The biggest common factor number is the GCF number.
So the greatest common factor 5299 and 5306 is 7.

Also check out the Least Common Multiple of 5299 and 5306

Properties of GCF 5299 and 5306

(i) The GCF of 5299 and 5306 is associative

GCF of 5299 and 5306 = GCF of 5306 and 5299

Related Greatest Common Factor of 5299

Related Greatest Common Factor of 5306

Frequently Asked Questions on GCF of 5299 and 5306

1. What is the GCF of 5299 and 5306?

Answer: GCF of 5299 and 5306 is 7.

2. What are the Factors of 5299?

Answer: Factors of 5299 are 1, 7, 757, 5299. There are 4 integers that are factors of 5299. The greatest factor of 5299 is 5299.

3. 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.

4. How to Find the GCF of 5299 and 5306?

Answer:

Greatest Common Factor of 5299 and 5306 = 7

Step 1: Find the prime factorization of 5299

5299 = 7 x 757

Step 2: Find the prime factorization of 5306

5306 = 2 x 7 x 379

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 5299 and 5306 is 7