Greatest Common Factor of 3882 and 3887

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 3882, 3887 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3882 and 3887 is 1.

GCF(3882,3887) = 1

GCF of 3882 and 3887

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

GCF of:
and

Greatest Common Factor of 3882 and 3887

GCF of 3882 and 3887 is 1

Prime Factorization of 3882


2 3882
3 1941
647 647
1

Prime factors of 3882 are 2,3,647. Prime factorization of 3882 in exponential form is:

3882 = 21×31×6471

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

∴ So by taking common prime factors GCF of 3882 and 3887 is 1

Greatest Common Factor of 3882 and 3887 by matching factors method

Factors of 3882

List of positive integer factors of 3882 that divides 3882 without a remainder.

1,2,3,6,647,1294,1941,3882

Factors of 3887

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

1,13,23,169,299,3887

Greatest Common Factor

We found the factors and prime factorization of 3882 and 3887. The biggest common factor number is the GCF number.
So the greatest common factor 3882 and 3887 is 1.

Also check out the Least Common Multiple of 3882 and 3887

Properties of GCF 3882 and 3887

(i) The GCF of 3882 and 3887 is associative

GCF of 3882 and 3887 = GCF of 3887 and 3882

Related Greatest Common Factor of 3882

Related Greatest Common Factor of 3887

Frequently Asked Questions on GCF of 3882 and 3887

1. What is the GCF of 3882 and 3887?

Answer: GCF of 3882 and 3887 is 1.

2. What are the Factors of 3882?

Answer: Factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882. There are 8 integers that are factors of 3882. The greatest factor of 3882 is 3882.

3. 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.

4. How to Find the GCF of 3882 and 3887?

Answer:

Greatest Common Factor of 3882 and 3887 = 1

Step 1: Find the prime factorization of 3882

3882 = 2 x 3 x 647

Step 2: Find the prime factorization of 3887

3887 = 13 x 13 x 23

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 3882 and 3887 is 1