Greatest Common Factor of 2529 and 2535

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 2529, 2535 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2529 and 2535 is 3.

GCF(2529,2535) = 3

GCF of 2529 and 2535

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

GCF of:
and

Greatest Common Factor of 2529 and 2535

GCF of 2529 and 2535 is 3

Prime Factorization of 2529


3 2529
3 843
281 281
1

Prime factors of 2529 are 3,281. Prime factorization of 2529 in exponential form is:

2529 = 32×2811

Prime Factorization of 2535


3 2535
5 845
13 169
13 13
1

Prime factors of 2535 are 3,5,13. Prime factorization of 2535 in exponential form is:

2535 = 31×51×132

∴ So by taking common prime factors GCF of 2529 and 2535 is 3

Greatest Common Factor of 2529 and 2535 by matching factors method

Factors of 2529

List of positive integer factors of 2529 that divides 2529 without a remainder.

1,3,9,281,843,2529

Factors of 2535

List of positive integer factors of 2535 that divides 2535 without a remainder.

1,3,5,13,15,39,65,169,195,507,845,2535

Greatest Common Factor

We found the factors and prime factorization of 2529 and 2535. The biggest common factor number is the GCF number.
So the greatest common factor 2529 and 2535 is 3.

Also check out the Least Common Multiple of 2529 and 2535

Properties of GCF 2529 and 2535

(i) The GCF of 2529 and 2535 is associative

GCF of 2529 and 2535 = GCF of 2535 and 2529

Related Greatest Common Factor of 2529

Related Greatest Common Factor of 2535

Frequently Asked Questions on GCF of 2529 and 2535

1. What is the GCF of 2529 and 2535?

Answer: GCF of 2529 and 2535 is 3.

2. What are the Factors of 2529?

Answer: Factors of 2529 are 1, 3, 9, 281, 843, 2529. There are 6 integers that are factors of 2529. The greatest factor of 2529 is 2529.

3. What are the Factors of 2535?

Answer: Factors of 2535 are 1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535. There are 12 integers that are factors of 2535. The greatest factor of 2535 is 2535.

4. How to Find the GCF of 2529 and 2535?

Answer:

Greatest Common Factor of 2529 and 2535 = 3

Step 1: Find the prime factorization of 2529

2529 = 3 x 3 x 281

Step 2: Find the prime factorization of 2535

2535 = 3 x 5 x 13 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 2529 and 2535 is 3