Greatest Common Factor of 3864 and 3868

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, 3868 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3864 and 3868 is 4.

GCF(3864,3868) = 4

GCF of 3864 and 3868

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

GCF of:
and

Greatest Common Factor of 3864 and 3868

GCF of 3864 and 3868 is 4

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 3868


2 3868
2 1934
967 967
1

Prime factors of 3868 are 2,967. Prime factorization of 3868 in exponential form is:

3868 = 22×9671

∴ So by taking common prime factors GCF of 3864 and 3868 is 4

Greatest Common Factor of 3864 and 3868 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 3868

List of positive integer factors of 3868 that divides 3868 without a remainder.

1,2,4,967,1934,3868

Greatest Common Factor

We found the factors and prime factorization of 3864 and 3868. The biggest common factor number is the GCF number.
So the greatest common factor 3864 and 3868 is 4.

Also check out the Least Common Multiple of 3864 and 3868

Properties of GCF 3864 and 3868

(i) The GCF of 3864 and 3868 is associative

GCF of 3864 and 3868 = GCF of 3868 and 3864

Related Greatest Common Factor of 3864

Related Greatest Common Factor of 3868

Frequently Asked Questions on GCF of 3864 and 3868

1. What is the GCF of 3864 and 3868?

Answer: GCF of 3864 and 3868 is 4.

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 3868?

Answer: Factors of 3868 are 1, 2, 4, 967, 1934, 3868. There are 6 integers that are factors of 3868. The greatest factor of 3868 is 3868.

4. How to Find the GCF of 3864 and 3868?

Answer:

Greatest Common Factor of 3864 and 3868 = 4

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 3868

3868 = 2 x 2 x 967

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3864 and 3868 is 4