Greatest Common Factor of 2838 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 2838, 2842 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2838 and 2842 is 2.

GCF(2838,2842) = 2

GCF of 2838 and 2842

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

GCF of:
and

Greatest Common Factor of 2838 and 2842

GCF of 2838 and 2842 is 2

Prime Factorization of 2838


2 2838
3 1419
11 473
43 43
1

Prime factors of 2838 are 2,3,11,43. Prime factorization of 2838 in exponential form is:

2838 = 21×31×111×431

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 2838 and 2842 is 2

Greatest Common Factor of 2838 and 2842 by matching factors method

Factors of 2838

List of positive integer factors of 2838 that divides 2838 without a remainder.

1,2,3,6,11,22,33,43,66,86,129,258,473,946,1419,2838

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 2838 and 2842. The biggest common factor number is the GCF number.
So the greatest common factor 2838 and 2842 is 2.

Also check out the Least Common Multiple of 2838 and 2842

Properties of GCF 2838 and 2842

(i) The GCF of 2838 and 2842 is associative

GCF of 2838 and 2842 = GCF of 2842 and 2838

Related Greatest Common Factor of 2838

Related Greatest Common Factor of 2842

Frequently Asked Questions on GCF of 2838 and 2842

1. What is the GCF of 2838 and 2842?

Answer: GCF of 2838 and 2842 is 2.

2. What are the Factors of 2838?

Answer: Factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838. There are 16 integers that are factors of 2838. The greatest factor of 2838 is 2838.

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 2838 and 2842?

Answer:

Greatest Common Factor of 2838 and 2842 = 2

Step 1: Find the prime factorization of 2838

2838 = 2 x 3 x 11 x 43

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 = 2

Step 4: Therefore, the greatest common factor of 2838 and 2842 is 2