Greatest Common Factor of 3844 and 3846

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 3844, 3846 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3844 and 3846 is 2.

GCF(3844,3846) = 2

GCF of 3844 and 3846

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

GCF of:
and

Greatest Common Factor of 3844 and 3846

GCF of 3844 and 3846 is 2

Prime Factorization of 3844


2 3844
2 1922
31 961
31 31
1

Prime factors of 3844 are 2,31. Prime factorization of 3844 in exponential form is:

3844 = 22×312

Prime Factorization of 3846


2 3846
3 1923
641 641
1

Prime factors of 3846 are 2,3,641. Prime factorization of 3846 in exponential form is:

3846 = 21×31×6411

∴ So by taking common prime factors GCF of 3844 and 3846 is 2

Greatest Common Factor of 3844 and 3846 by matching factors method

Factors of 3844

List of positive integer factors of 3844 that divides 3844 without a remainder.

1,2,4,31,62,124,961,1922,3844

Factors of 3846

List of positive integer factors of 3846 that divides 3846 without a remainder.

1,2,3,6,641,1282,1923,3846

Greatest Common Factor

We found the factors and prime factorization of 3844 and 3846. The biggest common factor number is the GCF number.
So the greatest common factor 3844 and 3846 is 2.

Also check out the Least Common Multiple of 3844 and 3846

Properties of GCF 3844 and 3846

(i) The GCF of 3844 and 3846 is associative

GCF of 3844 and 3846 = GCF of 3846 and 3844

Related Greatest Common Factor of 3844

Related Greatest Common Factor of 3846

Frequently Asked Questions on GCF of 3844 and 3846

1. What is the GCF of 3844 and 3846?

Answer: GCF of 3844 and 3846 is 2.

2. What are the Factors of 3844?

Answer: Factors of 3844 are 1, 2, 4, 31, 62, 124, 961, 1922, 3844. There are 9 integers that are factors of 3844. The greatest factor of 3844 is 3844.

3. What are the Factors of 3846?

Answer: Factors of 3846 are 1, 2, 3, 6, 641, 1282, 1923, 3846. There are 8 integers that are factors of 3846. The greatest factor of 3846 is 3846.

4. How to Find the GCF of 3844 and 3846?

Answer:

Greatest Common Factor of 3844 and 3846 = 2

Step 1: Find the prime factorization of 3844

3844 = 2 x 2 x 31 x 31

Step 2: Find the prime factorization of 3846

3846 = 2 x 3 x 641

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 3844 and 3846 is 2