Greatest Common Factor of 3891 and 3894

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 3891, 3894 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3891 and 3894 is 3.

GCF(3891,3894) = 3

GCF of 3891 and 3894

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

GCF of:
and

Greatest Common Factor of 3891 and 3894

GCF of 3891 and 3894 is 3

Prime Factorization of 3891


3 3891
1297 1297
1

Prime factors of 3891 are 3,1297. Prime factorization of 3891 in exponential form is:

3891 = 31×12971

Prime Factorization of 3894


2 3894
3 1947
11 649
59 59
1

Prime factors of 3894 are 2,3,11,59. Prime factorization of 3894 in exponential form is:

3894 = 21×31×111×591

∴ So by taking common prime factors GCF of 3891 and 3894 is 3

Greatest Common Factor of 3891 and 3894 by matching factors method

Factors of 3891

List of positive integer factors of 3891 that divides 3891 without a remainder.

1,3,1297,3891

Factors of 3894

List of positive integer factors of 3894 that divides 3894 without a remainder.

1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894

Greatest Common Factor

We found the factors and prime factorization of 3891 and 3894. The biggest common factor number is the GCF number.
So the greatest common factor 3891 and 3894 is 3.

Also check out the Least Common Multiple of 3891 and 3894

Properties of GCF 3891 and 3894

(i) The GCF of 3891 and 3894 is associative

GCF of 3891 and 3894 = GCF of 3894 and 3891

Related Greatest Common Factor of 3891

Related Greatest Common Factor of 3894

Frequently Asked Questions on GCF of 3891 and 3894

1. What is the GCF of 3891 and 3894?

Answer: GCF of 3891 and 3894 is 3.

2. What are the Factors of 3891?

Answer: Factors of 3891 are 1, 3, 1297, 3891. There are 4 integers that are factors of 3891. The greatest factor of 3891 is 3891.

3. What are the Factors of 3894?

Answer: Factors of 3894 are 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894. There are 16 integers that are factors of 3894. The greatest factor of 3894 is 3894.

4. How to Find the GCF of 3891 and 3894?

Answer:

Greatest Common Factor of 3891 and 3894 = 3

Step 1: Find the prime factorization of 3891

3891 = 3 x 1297

Step 2: Find the prime factorization of 3894

3894 = 2 x 3 x 11 x 59

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 3891 and 3894 is 3