Greatest Common Factor of 2835 and 2842

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 2835, 2842 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2835 and 2842 is 7.

GCF(2835,2842) = 7

GCF of 2835 and 2842

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

GCF of:
and

Greatest Common Factor of 2835 and 2842

GCF of 2835 and 2842 is 7

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

Prime Factorization of 2842


2 2842
7 1421
7 203
29 29
1

Prime factors of 2842 are 2,7,29. Prime factorization of 2842 in exponential form is:

2842 = 21×72×291

∴ So by taking common prime factors GCF of 2835 and 2842 is 7

Greatest Common Factor of 2835 and 2842 by matching factors method

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

Factors of 2842

List of positive integer factors of 2842 that divides 2842 without a remainder.

1,2,7,14,29,49,58,98,203,406,1421,2842

Greatest Common Factor

We found the factors and prime factorization of 2835 and 2842. The biggest common factor number is the GCF number.
So the greatest common factor 2835 and 2842 is 7.

Also check out the Least Common Multiple of 2835 and 2842

Properties of GCF 2835 and 2842

(i) The GCF of 2835 and 2842 is associative

GCF of 2835 and 2842 = GCF of 2842 and 2835

Related Greatest Common Factor of 2835

Related Greatest Common Factor of 2842

Frequently Asked Questions on GCF of 2835 and 2842

1. What is the GCF of 2835 and 2842?

Answer: GCF of 2835 and 2842 is 7.

2. 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.

3. What are the Factors of 2842?

Answer: Factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842. There are 12 integers that are factors of 2842. The greatest factor of 2842 is 2842.

4. How to Find the GCF of 2835 and 2842?

Answer:

Greatest Common Factor of 2835 and 2842 = 7

Step 1: Find the prime factorization of 2835

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

Step 2: Find the prime factorization of 2842

2842 = 2 x 7 x 7 x 29

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 2835 and 2842 is 7