Greatest Common Factor of 3887 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 3887, 3894 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3887 and 3894 is 1.

GCF(3887,3894) = 1

GCF of 3887 and 3894

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

GCF of:
and

Greatest Common Factor of 3887 and 3894

GCF of 3887 and 3894 is 1

Prime Factorization of 3887


13 3887
13 299
23 23
1

Prime factors of 3887 are 13,23. Prime factorization of 3887 in exponential form is:

3887 = 132×231

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 3887 and 3894 is 1

Greatest Common Factor of 3887 and 3894 by matching factors method

Factors of 3887

List of positive integer factors of 3887 that divides 3887 without a remainder.

1,13,23,169,299,3887

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 3887 and 3894. The biggest common factor number is the GCF number.
So the greatest common factor 3887 and 3894 is 1.

Also check out the Least Common Multiple of 3887 and 3894

Properties of GCF 3887 and 3894

(i) The GCF of 3887 and 3894 is associative

GCF of 3887 and 3894 = GCF of 3894 and 3887

Related Greatest Common Factor of 3887

Related Greatest Common Factor of 3894

Frequently Asked Questions on GCF of 3887 and 3894

1. What is the GCF of 3887 and 3894?

Answer: GCF of 3887 and 3894 is 1.

2. What are the Factors of 3887?

Answer: Factors of 3887 are 1, 13, 23, 169, 299, 3887. There are 6 integers that are factors of 3887. The greatest factor of 3887 is 3887.

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 3887 and 3894?

Answer:

Greatest Common Factor of 3887 and 3894 = 1

Step 1: Find the prime factorization of 3887

3887 = 13 x 13 x 23

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 = = 1

Step 4: Therefore, the greatest common factor of 3887 and 3894 is 1