Greatest Common Factor of 3861 and 3867

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 3861, 3867 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3861 and 3867 is 3.

GCF(3861,3867) = 3

GCF of 3861 and 3867

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

GCF of:
and

Greatest Common Factor of 3861 and 3867

GCF of 3861 and 3867 is 3

Prime Factorization of 3861


3 3861
3 1287
3 429
11 143
13 13
1

Prime factors of 3861 are 3,11,13. Prime factorization of 3861 in exponential form is:

3861 = 33×111×131

Prime Factorization of 3867


3 3867
1289 1289
1

Prime factors of 3867 are 3,1289. Prime factorization of 3867 in exponential form is:

3867 = 31×12891

∴ So by taking common prime factors GCF of 3861 and 3867 is 3

Greatest Common Factor of 3861 and 3867 by matching factors method

Factors of 3861

List of positive integer factors of 3861 that divides 3861 without a remainder.

1,3,9,11,13,27,33,39,99,117,143,297,351,429,1287,3861

Factors of 3867

List of positive integer factors of 3867 that divides 3867 without a remainder.

1,3,1289,3867

Greatest Common Factor

We found the factors and prime factorization of 3861 and 3867. The biggest common factor number is the GCF number.
So the greatest common factor 3861 and 3867 is 3.

Also check out the Least Common Multiple of 3861 and 3867

Properties of GCF 3861 and 3867

(i) The GCF of 3861 and 3867 is associative

GCF of 3861 and 3867 = GCF of 3867 and 3861

Related Greatest Common Factor of 3861

Related Greatest Common Factor of 3867

Frequently Asked Questions on GCF of 3861 and 3867

1. What is the GCF of 3861 and 3867?

Answer: GCF of 3861 and 3867 is 3.

2. What are the Factors of 3861?

Answer: Factors of 3861 are 1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 1287, 3861. There are 16 integers that are factors of 3861. The greatest factor of 3861 is 3861.

3. What are the Factors of 3867?

Answer: Factors of 3867 are 1, 3, 1289, 3867. There are 4 integers that are factors of 3867. The greatest factor of 3867 is 3867.

4. How to Find the GCF of 3861 and 3867?

Answer:

Greatest Common Factor of 3861 and 3867 = 3

Step 1: Find the prime factorization of 3861

3861 = 3 x 3 x 3 x 11 x 13

Step 2: Find the prime factorization of 3867

3867 = 3 x 1289

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 3861 and 3867 is 3