Greatest Common Factor of 2828 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 2828, 2835 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2828 and 2835 is 7.

GCF(2828,2835) = 7

GCF of 2828 and 2835

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

GCF of:
and

Greatest Common Factor of 2828 and 2835

GCF of 2828 and 2835 is 7

Prime Factorization of 2828


2 2828
2 1414
7 707
101 101
1

Prime factors of 2828 are 2,7,101. Prime factorization of 2828 in exponential form is:

2828 = 22×71×1011

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 2828 and 2835 is 7

Greatest Common Factor of 2828 and 2835 by matching factors method

Factors of 2828

List of positive integer factors of 2828 that divides 2828 without a remainder.

1,2,4,7,14,28,101,202,404,707,1414,2828

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 2828 and 2835. The biggest common factor number is the GCF number.
So the greatest common factor 2828 and 2835 is 7.

Also check out the Least Common Multiple of 2828 and 2835

Properties of GCF 2828 and 2835

(i) The GCF of 2828 and 2835 is associative

GCF of 2828 and 2835 = GCF of 2835 and 2828

Related Greatest Common Factor of 2828

Related Greatest Common Factor of 2835

Frequently Asked Questions on GCF of 2828 and 2835

1. What is the GCF of 2828 and 2835?

Answer: GCF of 2828 and 2835 is 7.

2. What are the Factors of 2828?

Answer: Factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828. There are 12 integers that are factors of 2828. The greatest factor of 2828 is 2828.

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 2828 and 2835?

Answer:

Greatest Common Factor of 2828 and 2835 = 7

Step 1: Find the prime factorization of 2828

2828 = 2 x 2 x 7 x 101

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 = 7

Step 4: Therefore, the greatest common factor of 2828 and 2835 is 7