Greatest Common Factor of 5265 and 5271

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 5265, 5271 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5265 and 5271 is 3.

GCF(5265,5271) = 3

GCF of 5265 and 5271

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

GCF of:
and

Greatest Common Factor of 5265 and 5271

GCF of 5265 and 5271 is 3

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

Prime Factorization of 5271


3 5271
7 1757
251 251
1

Prime factors of 5271 are 3,7,251. Prime factorization of 5271 in exponential form is:

5271 = 31×71×2511

∴ So by taking common prime factors GCF of 5265 and 5271 is 3

Greatest Common Factor of 5265 and 5271 by matching factors method

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

Factors of 5271

List of positive integer factors of 5271 that divides 5271 without a remainder.

1,3,7,21,251,753,1757,5271

Greatest Common Factor

We found the factors and prime factorization of 5265 and 5271. The biggest common factor number is the GCF number.
So the greatest common factor 5265 and 5271 is 3.

Also check out the Least Common Multiple of 5265 and 5271

Properties of GCF 5265 and 5271

(i) The GCF of 5265 and 5271 is associative

GCF of 5265 and 5271 = GCF of 5271 and 5265

Related Greatest Common Factor of 5265

Related Greatest Common Factor of 5271

Frequently Asked Questions on GCF of 5265 and 5271

1. What is the GCF of 5265 and 5271?

Answer: GCF of 5265 and 5271 is 3.

2. 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.

3. What are the Factors of 5271?

Answer: Factors of 5271 are 1, 3, 7, 21, 251, 753, 1757, 5271. There are 8 integers that are factors of 5271. The greatest factor of 5271 is 5271.

4. How to Find the GCF of 5265 and 5271?

Answer:

Greatest Common Factor of 5265 and 5271 = 3

Step 1: Find the prime factorization of 5265

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

Step 2: Find the prime factorization of 5271

5271 = 3 x 7 x 251

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 5265 and 5271 is 3