Greatest Common Factor of 3852 and 3856

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 3852, 3856 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3852 and 3856 is 4.

GCF(3852,3856) = 4

GCF of 3852 and 3856

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

GCF of:
and

Greatest Common Factor of 3852 and 3856

GCF of 3852 and 3856 is 4

Prime Factorization of 3852


2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 3852 are 2,3,107. Prime factorization of 3852 in exponential form is:

3852 = 22×32×1071

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

∴ So by taking common prime factors GCF of 3852 and 3856 is 4

Greatest Common Factor of 3852 and 3856 by matching factors method

Factors of 3852

List of positive integer factors of 3852 that divides 3852 without a remainder.

1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852

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

Greatest Common Factor

We found the factors and prime factorization of 3852 and 3856. The biggest common factor number is the GCF number.
So the greatest common factor 3852 and 3856 is 4.

Also check out the Least Common Multiple of 3852 and 3856

Properties of GCF 3852 and 3856

(i) The GCF of 3852 and 3856 is associative

GCF of 3852 and 3856 = GCF of 3856 and 3852

Related Greatest Common Factor of 3852

Related Greatest Common Factor of 3856

Frequently Asked Questions on GCF of 3852 and 3856

1. What is the GCF of 3852 and 3856?

Answer: GCF of 3852 and 3856 is 4.

2. What are the Factors of 3852?

Answer: Factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852. There are 18 integers that are factors of 3852. The greatest factor of 3852 is 3852.

3. 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.

4. How to Find the GCF of 3852 and 3856?

Answer:

Greatest Common Factor of 3852 and 3856 = 4

Step 1: Find the prime factorization of 3852

3852 = 2 x 2 x 3 x 3 x 107

Step 2: Find the prime factorization of 3856

3856 = 2 x 2 x 2 x 2 x 241

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 3852 and 3856 is 4