Greatest Common Factor of 5253 and 5259

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 5253, 5259 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5253 and 5259 is 3.

GCF(5253,5259) = 3

GCF of 5253 and 5259

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

GCF of:
and

Greatest Common Factor of 5253 and 5259

GCF of 5253 and 5259 is 3

Prime Factorization of 5253


3 5253
17 1751
103 103
1

Prime factors of 5253 are 3,17,103. Prime factorization of 5253 in exponential form is:

5253 = 31×171×1031

Prime Factorization of 5259


3 5259
1753 1753
1

Prime factors of 5259 are 3,1753. Prime factorization of 5259 in exponential form is:

5259 = 31×17531

∴ So by taking common prime factors GCF of 5253 and 5259 is 3

Greatest Common Factor of 5253 and 5259 by matching factors method

Factors of 5253

List of positive integer factors of 5253 that divides 5253 without a remainder.

1,3,17,51,103,309,1751,5253

Factors of 5259

List of positive integer factors of 5259 that divides 5259 without a remainder.

1,3,1753,5259

Greatest Common Factor

We found the factors and prime factorization of 5253 and 5259. The biggest common factor number is the GCF number.
So the greatest common factor 5253 and 5259 is 3.

Also check out the Least Common Multiple of 5253 and 5259

Properties of GCF 5253 and 5259

(i) The GCF of 5253 and 5259 is associative

GCF of 5253 and 5259 = GCF of 5259 and 5253

Related Greatest Common Factor of 5253

Related Greatest Common Factor of 5259

Frequently Asked Questions on GCF of 5253 and 5259

1. What is the GCF of 5253 and 5259?

Answer: GCF of 5253 and 5259 is 3.

2. What are the Factors of 5253?

Answer: Factors of 5253 are 1, 3, 17, 51, 103, 309, 1751, 5253. There are 8 integers that are factors of 5253. The greatest factor of 5253 is 5253.

3. What are the Factors of 5259?

Answer: Factors of 5259 are 1, 3, 1753, 5259. There are 4 integers that are factors of 5259. The greatest factor of 5259 is 5259.

4. How to Find the GCF of 5253 and 5259?

Answer:

Greatest Common Factor of 5253 and 5259 = 3

Step 1: Find the prime factorization of 5253

5253 = 3 x 17 x 103

Step 2: Find the prime factorization of 5259

5259 = 3 x 1753

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5253 and 5259 is 3