Greatest Common Factor of 5259 and 5265

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 5259, 5265 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5259 and 5265 is 3.

GCF(5259,5265) = 3

GCF of 5259 and 5265

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

GCF of:
and

Greatest Common Factor of 5259 and 5265

GCF of 5259 and 5265 is 3

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

Prime Factorization of 5265


3 5265
3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 5265 are 3,5,13. Prime factorization of 5265 in exponential form is:

5265 = 34×51×131

∴ So by taking common prime factors GCF of 5259 and 5265 is 3

Greatest Common Factor of 5259 and 5265 by matching factors method

Factors of 5259

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

1,3,1753,5259

Factors of 5265

List of positive integer factors of 5265 that divides 5265 without a remainder.

1,3,5,9,13,15,27,39,45,65,81,117,135,195,351,405,585,1053,1755,5265

Greatest Common Factor

We found the factors and prime factorization of 5259 and 5265. The biggest common factor number is the GCF number.
So the greatest common factor 5259 and 5265 is 3.

Also check out the Least Common Multiple of 5259 and 5265

Properties of GCF 5259 and 5265

(i) The GCF of 5259 and 5265 is associative

GCF of 5259 and 5265 = GCF of 5265 and 5259

Related Greatest Common Factor of 5259

Related Greatest Common Factor of 5265

Frequently Asked Questions on GCF of 5259 and 5265

1. What is the GCF of 5259 and 5265?

Answer: GCF of 5259 and 5265 is 3.

2. 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.

3. What are the Factors of 5265?

Answer: Factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265. There are 20 integers that are factors of 5265. The greatest factor of 5265 is 5265.

4. How to Find the GCF of 5259 and 5265?

Answer:

Greatest Common Factor of 5259 and 5265 = 3

Step 1: Find the prime factorization of 5259

5259 = 3 x 1753

Step 2: Find the prime factorization of 5265

5265 = 3 x 3 x 3 x 3 x 5 x 13

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 5259 and 5265 is 3