Greatest Common Factor of 5290 and 5298

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 5290, 5298 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5290 and 5298 is 2.

GCF(5290,5298) = 2

GCF of 5290 and 5298

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

GCF of:
and

Greatest Common Factor of 5290 and 5298

GCF of 5290 and 5298 is 2

Prime Factorization of 5290


2 5290
5 2645
23 529
23 23
1

Prime factors of 5290 are 2,5,23. Prime factorization of 5290 in exponential form is:

5290 = 21×51×232

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

∴ So by taking common prime factors GCF of 5290 and 5298 is 2

Greatest Common Factor of 5290 and 5298 by matching factors method

Factors of 5290

List of positive integer factors of 5290 that divides 5290 without a remainder.

1,2,5,10,23,46,115,230,529,1058,2645,5290

Factors of 5298

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

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

Greatest Common Factor

We found the factors and prime factorization of 5290 and 5298. The biggest common factor number is the GCF number.
So the greatest common factor 5290 and 5298 is 2.

Also check out the Least Common Multiple of 5290 and 5298

Properties of GCF 5290 and 5298

(i) The GCF of 5290 and 5298 is associative

GCF of 5290 and 5298 = GCF of 5298 and 5290

Related Greatest Common Factor of 5290

Related Greatest Common Factor of 5298

Frequently Asked Questions on GCF of 5290 and 5298

1. What is the GCF of 5290 and 5298?

Answer: GCF of 5290 and 5298 is 2.

2. What are the Factors of 5290?

Answer: Factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290. There are 12 integers that are factors of 5290. The greatest factor of 5290 is 5290.

3. 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.

4. How to Find the GCF of 5290 and 5298?

Answer:

Greatest Common Factor of 5290 and 5298 = 2

Step 1: Find the prime factorization of 5290

5290 = 2 x 5 x 23 x 23

Step 2: Find the prime factorization of 5298

5298 = 2 x 3 x 883

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 5290 and 5298 is 2