Greatest Common Factor of 3837 and 3843

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 3837, 3843 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3837 and 3843 is 3.

GCF(3837,3843) = 3

GCF of 3837 and 3843

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

GCF of:
and

Greatest Common Factor of 3837 and 3843

GCF of 3837 and 3843 is 3

Prime Factorization of 3837


3 3837
1279 1279
1

Prime factors of 3837 are 3,1279. Prime factorization of 3837 in exponential form is:

3837 = 31×12791

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

∴ So by taking common prime factors GCF of 3837 and 3843 is 3

Greatest Common Factor of 3837 and 3843 by matching factors method

Factors of 3837

List of positive integer factors of 3837 that divides 3837 without a remainder.

1,3,1279,3837

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

Greatest Common Factor

We found the factors and prime factorization of 3837 and 3843. The biggest common factor number is the GCF number.
So the greatest common factor 3837 and 3843 is 3.

Also check out the Least Common Multiple of 3837 and 3843

Properties of GCF 3837 and 3843

(i) The GCF of 3837 and 3843 is associative

GCF of 3837 and 3843 = GCF of 3843 and 3837

Related Greatest Common Factor of 3837

Related Greatest Common Factor of 3843

Frequently Asked Questions on GCF of 3837 and 3843

1. What is the GCF of 3837 and 3843?

Answer: GCF of 3837 and 3843 is 3.

2. What are the Factors of 3837?

Answer: Factors of 3837 are 1, 3, 1279, 3837. There are 4 integers that are factors of 3837. The greatest factor of 3837 is 3837.

3. 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.

4. How to Find the GCF of 3837 and 3843?

Answer:

Greatest Common Factor of 3837 and 3843 = 3

Step 1: Find the prime factorization of 3837

3837 = 3 x 1279

Step 2: Find the prime factorization of 3843

3843 = 3 x 3 x 7 x 61

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 3837 and 3843 is 3