Greatest Common Factor of 3856 and 3864

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 3856, 3864 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3856 and 3864 is 8.

GCF(3856,3864) = 8

GCF of 3856 and 3864

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

GCF of:
and

Greatest Common Factor of 3856 and 3864

GCF of 3856 and 3864 is 8

Prime Factorization of 3856


2 3856
2 1928
2 964
2 482
241 241
1

Prime factors of 3856 are 2,241. Prime factorization of 3856 in exponential form is:

3856 = 24×2411

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

∴ So by taking common prime factors GCF of 3856 and 3864 is 8

Greatest Common Factor of 3856 and 3864 by matching factors method

Factors of 3856

List of positive integer factors of 3856 that divides 3856 without a remainder.

1,2,4,8,16,241,482,964,1928,3856

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

Greatest Common Factor

We found the factors and prime factorization of 3856 and 3864. The biggest common factor number is the GCF number.
So the greatest common factor 3856 and 3864 is 8.

Also check out the Least Common Multiple of 3856 and 3864

Properties of GCF 3856 and 3864

(i) The GCF of 3856 and 3864 is associative

GCF of 3856 and 3864 = GCF of 3864 and 3856

Related Greatest Common Factor of 3856

Related Greatest Common Factor of 3864

Frequently Asked Questions on GCF of 3856 and 3864

1. What is the GCF of 3856 and 3864?

Answer: GCF of 3856 and 3864 is 8.

2. What are the Factors of 3856?

Answer: Factors of 3856 are 1, 2, 4, 8, 16, 241, 482, 964, 1928, 3856. There are 10 integers that are factors of 3856. The greatest factor of 3856 is 3856.

3. 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.

4. How to Find the GCF of 3856 and 3864?

Answer:

Greatest Common Factor of 3856 and 3864 = 8

Step 1: Find the prime factorization of 3856

3856 = 2 x 2 x 2 x 2 x 241

Step 2: Find the prime factorization of 3864

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

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 3856 and 3864 is 8