Greatest Common Factor of 5298 and 5299

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, 5299 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5298 and 5299 is 1.

GCF(5298,5299) = 1

GCF of 5298 and 5299

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

GCF of:
and

Greatest Common Factor of 5298 and 5299

GCF of 5298 and 5299 is 1

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 5299


7 5299
757 757
1

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

5299 = 71×7571

∴ So by taking common prime factors GCF of 5298 and 5299 is 1

Greatest Common Factor of 5298 and 5299 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 5299

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

1,7,757,5299

Greatest Common Factor

We found the factors and prime factorization of 5298 and 5299. The biggest common factor number is the GCF number.
So the greatest common factor 5298 and 5299 is 1.

Also check out the Least Common Multiple of 5298 and 5299

Properties of GCF 5298 and 5299

(i) The GCF of 5298 and 5299 is associative

GCF of 5298 and 5299 = GCF of 5299 and 5298

Related Greatest Common Factor of 5298

Related Greatest Common Factor of 5299

Frequently Asked Questions on GCF of 5298 and 5299

1. What is the GCF of 5298 and 5299?

Answer: GCF of 5298 and 5299 is 1.

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 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.

4. How to Find the GCF of 5298 and 5299?

Answer:

Greatest Common Factor of 5298 and 5299 = 1

Step 1: Find the prime factorization of 5298

5298 = 2 x 3 x 883

Step 2: Find the prime factorization of 5299

5299 = 7 x 757

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5298 and 5299 is 1