Greatest Common Factor of 5298 and 5300

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 5298, 5300 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5298 and 5300 is 2.

GCF(5298,5300) = 2

GCF of 5298 and 5300

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

GCF of:
and

Greatest Common Factor of 5298 and 5300

GCF of 5298 and 5300 is 2

Prime Factorization of 5298


2 5298
3 2649
883 883
1

Prime factors of 5298 are 2,3,883. Prime factorization of 5298 in exponential form is:

5298 = 21×31×8831

Prime Factorization of 5300


2 5300
2 2650
5 1325
5 265
53 53
1

Prime factors of 5300 are 2,5,53. Prime factorization of 5300 in exponential form is:

5300 = 22×52×531

∴ So by taking common prime factors GCF of 5298 and 5300 is 2

Greatest Common Factor of 5298 and 5300 by matching factors method

Factors of 5298

List of positive integer factors of 5298 that divides 5298 without a remainder.

1,2,3,6,883,1766,2649,5298

Factors of 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300

Greatest Common Factor

We found the factors and prime factorization of 5298 and 5300. The biggest common factor number is the GCF number.
So the greatest common factor 5298 and 5300 is 2.

Also check out the Least Common Multiple of 5298 and 5300

Properties of GCF 5298 and 5300

(i) The GCF of 5298 and 5300 is associative

GCF of 5298 and 5300 = GCF of 5300 and 5298

Related Greatest Common Factor of 5298

Related Greatest Common Factor of 5300

Frequently Asked Questions on GCF of 5298 and 5300

1. What is the GCF of 5298 and 5300?

Answer: GCF of 5298 and 5300 is 2.

2. What are the Factors of 5298?

Answer: Factors of 5298 are 1, 2, 3, 6, 883, 1766, 2649, 5298. There are 8 integers that are factors of 5298. The greatest factor of 5298 is 5298.

3. What are the Factors of 5300?

Answer: Factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300. There are 18 integers that are factors of 5300. The greatest factor of 5300 is 5300.

4. How to Find the GCF of 5298 and 5300?

Answer:

Greatest Common Factor of 5298 and 5300 = 2

Step 1: Find the prime factorization of 5298

5298 = 2 x 3 x 883

Step 2: Find the prime factorization of 5300

5300 = 2 x 2 x 5 x 5 x 53

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5298 and 5300 is 2