Greatest Common Factor of 3887 and 3889

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, 3889 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3887 and 3889 is 1.

GCF(3887,3889) = 1

GCF of 3887 and 3889

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

GCF of:
and

Greatest Common Factor of 3887 and 3889

GCF of 3887 and 3889 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 3889


3889 3889
1

Prime factors of 3889 are 3889. Prime factorization of 3889 in exponential form is:

3889 = 38891

∴ So by taking common prime factors GCF of 3887 and 3889 is 1

Greatest Common Factor of 3887 and 3889 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 3889

List of positive integer factors of 3889 that divides 3889 without a remainder.

1,3889

Greatest Common Factor

We found the factors and prime factorization of 3887 and 3889. The biggest common factor number is the GCF number.
So the greatest common factor 3887 and 3889 is 1.

Also check out the Least Common Multiple of 3887 and 3889

Properties of GCF 3887 and 3889

(i) The GCF of 3887 and 3889 is associative

GCF of 3887 and 3889 = GCF of 3889 and 3887

Related Greatest Common Factor of 3887

Related Greatest Common Factor of 3889

Frequently Asked Questions on GCF of 3887 and 3889

1. What is the GCF of 3887 and 3889?

Answer: GCF of 3887 and 3889 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 3889?

Answer: Factors of 3889 are 1, 3889. There are 2 integers that are factors of 3889. The greatest factor of 3889 is 3889.

4. How to Find the GCF of 3887 and 3889?

Answer:

Greatest Common Factor of 3887 and 3889 = 1

Step 1: Find the prime factorization of 3887

3887 = 13 x 13 x 23

Step 2: Find the prime factorization of 3889

3889 = 3889

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 3889 is 1