Greatest Common Factor of 2829 and 2835

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 2829, 2835 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2829 and 2835 is 3.

GCF(2829,2835) = 3

GCF of 2829 and 2835

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

GCF of:
and

Greatest Common Factor of 2829 and 2835

GCF of 2829 and 2835 is 3

Prime Factorization of 2829


3 2829
23 943
41 41
1

Prime factors of 2829 are 3,23,41. Prime factorization of 2829 in exponential form is:

2829 = 31×231×411

Prime Factorization of 2835


3 2835
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 2835 are 3,5,7. Prime factorization of 2835 in exponential form is:

2835 = 34×51×71

∴ So by taking common prime factors GCF of 2829 and 2835 is 3

Greatest Common Factor of 2829 and 2835 by matching factors method

Factors of 2829

List of positive integer factors of 2829 that divides 2829 without a remainder.

1,3,23,41,69,123,943,2829

Factors of 2835

List of positive integer factors of 2835 that divides 2835 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835

Greatest Common Factor

We found the factors and prime factorization of 2829 and 2835. The biggest common factor number is the GCF number.
So the greatest common factor 2829 and 2835 is 3.

Also check out the Least Common Multiple of 2829 and 2835

Properties of GCF 2829 and 2835

(i) The GCF of 2829 and 2835 is associative

GCF of 2829 and 2835 = GCF of 2835 and 2829

Related Greatest Common Factor of 2829

Related Greatest Common Factor of 2835

Frequently Asked Questions on GCF of 2829 and 2835

1. What is the GCF of 2829 and 2835?

Answer: GCF of 2829 and 2835 is 3.

2. What are the Factors of 2829?

Answer: Factors of 2829 are 1, 3, 23, 41, 69, 123, 943, 2829. There are 8 integers that are factors of 2829. The greatest factor of 2829 is 2829.

3. What are the Factors of 2835?

Answer: Factors of 2835 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835. There are 20 integers that are factors of 2835. The greatest factor of 2835 is 2835.

4. How to Find the GCF of 2829 and 2835?

Answer:

Greatest Common Factor of 2829 and 2835 = 3

Step 1: Find the prime factorization of 2829

2829 = 3 x 23 x 41

Step 2: Find the prime factorization of 2835

2835 = 3 x 3 x 3 x 3 x 5 x 7

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 2829 and 2835 is 3