Greatest Common Factor of 3843 and 3849

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, 3849 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3843 and 3849 is 3.

GCF(3843,3849) = 3

GCF of 3843 and 3849

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

GCF of:
and

Greatest Common Factor of 3843 and 3849

GCF of 3843 and 3849 is 3

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 3849


3 3849
1283 1283
1

Prime factors of 3849 are 3,1283. Prime factorization of 3849 in exponential form is:

3849 = 31×12831

∴ So by taking common prime factors GCF of 3843 and 3849 is 3

Greatest Common Factor of 3843 and 3849 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 3849

List of positive integer factors of 3849 that divides 3849 without a remainder.

1,3,1283,3849

Greatest Common Factor

We found the factors and prime factorization of 3843 and 3849. The biggest common factor number is the GCF number.
So the greatest common factor 3843 and 3849 is 3.

Also check out the Least Common Multiple of 3843 and 3849

Properties of GCF 3843 and 3849

(i) The GCF of 3843 and 3849 is associative

GCF of 3843 and 3849 = GCF of 3849 and 3843

Related Greatest Common Factor of 3843

Related Greatest Common Factor of 3849

Frequently Asked Questions on GCF of 3843 and 3849

1. What is the GCF of 3843 and 3849?

Answer: GCF of 3843 and 3849 is 3.

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 3849?

Answer: Factors of 3849 are 1, 3, 1283, 3849. There are 4 integers that are factors of 3849. The greatest factor of 3849 is 3849.

4. How to Find the GCF of 3843 and 3849?

Answer:

Greatest Common Factor of 3843 and 3849 = 3

Step 1: Find the prime factorization of 3843

3843 = 3 x 3 x 7 x 61

Step 2: Find the prime factorization of 3849

3849 = 3 x 1283

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3843 and 3849 is 3