Greatest Common Factor of 3887 and 3888

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, 3888 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3887 and 3888 is 1.

GCF(3887,3888) = 1

GCF of 3887 and 3888

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

GCF of:
and

Greatest Common Factor of 3887 and 3888

GCF of 3887 and 3888 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 3888


2 3888
2 1944
2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 3888 are 2,3. Prime factorization of 3888 in exponential form is:

3888 = 24×35

∴ So by taking common prime factors GCF of 3887 and 3888 is 1

Greatest Common Factor of 3887 and 3888 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 3888

List of positive integer factors of 3888 that divides 3888 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,243,324,432,486,648,972,1296,1944,3888

Greatest Common Factor

We found the factors and prime factorization of 3887 and 3888. The biggest common factor number is the GCF number.
So the greatest common factor 3887 and 3888 is 1.

Also check out the Least Common Multiple of 3887 and 3888

Properties of GCF 3887 and 3888

(i) The GCF of 3887 and 3888 is associative

GCF of 3887 and 3888 = GCF of 3888 and 3887

Related Greatest Common Factor of 3887

Related Greatest Common Factor of 3888

Frequently Asked Questions on GCF of 3887 and 3888

1. What is the GCF of 3887 and 3888?

Answer: GCF of 3887 and 3888 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 3888?

Answer: Factors of 3888 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888. There are 30 integers that are factors of 3888. The greatest factor of 3888 is 3888.

4. How to Find the GCF of 3887 and 3888?

Answer:

Greatest Common Factor of 3887 and 3888 = 1

Step 1: Find the prime factorization of 3887

3887 = 13 x 13 x 23

Step 2: Find the prime factorization of 3888

3888 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

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 3888 is 1