Greatest Common Factor of 2838 and 2844

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, 2844 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2838 and 2844 is 6.

GCF(2838,2844) = 6

GCF of 2838 and 2844

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

GCF of:
and

Greatest Common Factor of 2838 and 2844

GCF of 2838 and 2844 is 6

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 2844


2 2844
2 1422
3 711
3 237
79 79
1

Prime factors of 2844 are 2,3,79. Prime factorization of 2844 in exponential form is:

2844 = 22×32×791

∴ So by taking common prime factors GCF of 2838 and 2844 is 6

Greatest Common Factor of 2838 and 2844 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 2844

List of positive integer factors of 2844 that divides 2844 without a remainder.

1,2,3,4,6,9,12,18,36,79,158,237,316,474,711,948,1422,2844

Greatest Common Factor

We found the factors and prime factorization of 2838 and 2844. The biggest common factor number is the GCF number.
So the greatest common factor 2838 and 2844 is 6.

Also check out the Least Common Multiple of 2838 and 2844

Properties of GCF 2838 and 2844

(i) The GCF of 2838 and 2844 is associative

GCF of 2838 and 2844 = GCF of 2844 and 2838

Related Greatest Common Factor of 2838

Related Greatest Common Factor of 2844

Frequently Asked Questions on GCF of 2838 and 2844

1. What is the GCF of 2838 and 2844?

Answer: GCF of 2838 and 2844 is 6.

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 2844?

Answer: Factors of 2844 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422, 2844. There are 18 integers that are factors of 2844. The greatest factor of 2844 is 2844.

4. How to Find the GCF of 2838 and 2844?

Answer:

Greatest Common Factor of 2838 and 2844 = 6

Step 1: Find the prime factorization of 2838

2838 = 2 x 3 x 11 x 43

Step 2: Find the prime factorization of 2844

2844 = 2 x 2 x 3 x 3 x 79

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2838 and 2844 is 6