Greatest Common Factor of 3864 and 3872

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 3864, 3872 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3864 and 3872 is 8.

GCF(3864,3872) = 8

GCF of 3864 and 3872

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

GCF of:
and

Greatest Common Factor of 3864 and 3872

GCF of 3864 and 3872 is 8

Prime Factorization of 3864


2 3864
2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 3864 are 2,3,7,23. Prime factorization of 3864 in exponential form is:

3864 = 23×31×71×231

Prime Factorization of 3872


2 3872
2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 3872 are 2,11. Prime factorization of 3872 in exponential form is:

3872 = 25×112

∴ So by taking common prime factors GCF of 3864 and 3872 is 8

Greatest Common Factor of 3864 and 3872 by matching factors method

Factors of 3864

List of positive integer factors of 3864 that divides 3864 without a remainder.

1,2,3,4,6,7,8,12,14,21,23,24,28,42,46,56,69,84,92,138,161,168,184,276,322,483,552,644,966,1288,1932,3864

Factors of 3872

List of positive integer factors of 3872 that divides 3872 without a remainder.

1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872

Greatest Common Factor

We found the factors and prime factorization of 3864 and 3872. The biggest common factor number is the GCF number.
So the greatest common factor 3864 and 3872 is 8.

Also check out the Least Common Multiple of 3864 and 3872

Properties of GCF 3864 and 3872

(i) The GCF of 3864 and 3872 is associative

GCF of 3864 and 3872 = GCF of 3872 and 3864

Related Greatest Common Factor of 3864

Related Greatest Common Factor of 3872

Frequently Asked Questions on GCF of 3864 and 3872

1. What is the GCF of 3864 and 3872?

Answer: GCF of 3864 and 3872 is 8.

2. What are the Factors of 3864?

Answer: Factors of 3864 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932, 3864. There are 32 integers that are factors of 3864. The greatest factor of 3864 is 3864.

3. What are the Factors of 3872?

Answer: Factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872. There are 18 integers that are factors of 3872. The greatest factor of 3872 is 3872.

4. How to Find the GCF of 3864 and 3872?

Answer:

Greatest Common Factor of 3864 and 3872 = 8

Step 1: Find the prime factorization of 3864

3864 = 2 x 2 x 2 x 3 x 7 x 23

Step 2: Find the prime factorization of 3872

3872 = 2 x 2 x 2 x 2 x 2 x 11 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3864 and 3872 is 8