Greatest Common Factor of 3868 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 3868, 3872 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3868 and 3872 is 4.

GCF(3868,3872) = 4

GCF of 3868 and 3872

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

GCF of:
and

Greatest Common Factor of 3868 and 3872

GCF of 3868 and 3872 is 4

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

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 3868 and 3872 is 4

Greatest Common Factor of 3868 and 3872 by matching factors method

Factors of 3868

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

1,2,4,967,1934,3868

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 3868 and 3872. The biggest common factor number is the GCF number.
So the greatest common factor 3868 and 3872 is 4.

Also check out the Least Common Multiple of 3868 and 3872

Properties of GCF 3868 and 3872

(i) The GCF of 3868 and 3872 is associative

GCF of 3868 and 3872 = GCF of 3872 and 3868

Related Greatest Common Factor of 3868

Related Greatest Common Factor of 3872

Frequently Asked Questions on GCF of 3868 and 3872

1. What is the GCF of 3868 and 3872?

Answer: GCF of 3868 and 3872 is 4.

2. 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.

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 3868 and 3872?

Answer:

Greatest Common Factor of 3868 and 3872 = 4

Step 1: Find the prime factorization of 3868

3868 = 2 x 2 x 967

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 = 4

Step 4: Therefore, the greatest common factor of 3868 and 3872 is 4