Greatest Common Factor of 3843 and 3844

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 3843, 3844 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3843 and 3844 is 1.

GCF(3843,3844) = 1

GCF of 3843 and 3844

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

GCF of:
and

Greatest Common Factor of 3843 and 3844

GCF of 3843 and 3844 is 1

Prime Factorization of 3843


3 3843
3 1281
7 427
61 61
1

Prime factors of 3843 are 3,7,61. Prime factorization of 3843 in exponential form is:

3843 = 32×71×611

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

∴ So by taking common prime factors GCF of 3843 and 3844 is 1

Greatest Common Factor of 3843 and 3844 by matching factors method

Factors of 3843

List of positive integer factors of 3843 that divides 3843 without a remainder.

1,3,7,9,21,61,63,183,427,549,1281,3843

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

Greatest Common Factor

We found the factors and prime factorization of 3843 and 3844. The biggest common factor number is the GCF number.
So the greatest common factor 3843 and 3844 is 1.

Also check out the Least Common Multiple of 3843 and 3844

Properties of GCF 3843 and 3844

(i) The GCF of 3843 and 3844 is associative

GCF of 3843 and 3844 = GCF of 3844 and 3843

Related Greatest Common Factor of 3843

Related Greatest Common Factor of 3844

Frequently Asked Questions on GCF of 3843 and 3844

1. What is the GCF of 3843 and 3844?

Answer: GCF of 3843 and 3844 is 1.

2. What are the Factors of 3843?

Answer: Factors of 3843 are 1, 3, 7, 9, 21, 61, 63, 183, 427, 549, 1281, 3843. There are 12 integers that are factors of 3843. The greatest factor of 3843 is 3843.

3. 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.

4. How to Find the GCF of 3843 and 3844?

Answer:

Greatest Common Factor of 3843 and 3844 = 1

Step 1: Find the prime factorization of 3843

3843 = 3 x 3 x 7 x 61

Step 2: Find the prime factorization of 3844

3844 = 2 x 2 x 31 x 31

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3843 and 3844 is 1