Greatest Common Factor of 3856 and 3860

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, 3860 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3856 and 3860 is 4.

GCF(3856,3860) = 4

GCF of 3856 and 3860

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

GCF of:
and

Greatest Common Factor of 3856 and 3860

GCF of 3856 and 3860 is 4

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 3860


2 3860
2 1930
5 965
193 193
1

Prime factors of 3860 are 2,5,193. Prime factorization of 3860 in exponential form is:

3860 = 22×51×1931

∴ So by taking common prime factors GCF of 3856 and 3860 is 4

Greatest Common Factor of 3856 and 3860 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 3860

List of positive integer factors of 3860 that divides 3860 without a remainder.

1,2,4,5,10,20,193,386,772,965,1930,3860

Greatest Common Factor

We found the factors and prime factorization of 3856 and 3860. The biggest common factor number is the GCF number.
So the greatest common factor 3856 and 3860 is 4.

Also check out the Least Common Multiple of 3856 and 3860

Properties of GCF 3856 and 3860

(i) The GCF of 3856 and 3860 is associative

GCF of 3856 and 3860 = GCF of 3860 and 3856

Related Greatest Common Factor of 3856

Related Greatest Common Factor of 3860

Frequently Asked Questions on GCF of 3856 and 3860

1. What is the GCF of 3856 and 3860?

Answer: GCF of 3856 and 3860 is 4.

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 3860?

Answer: Factors of 3860 are 1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860. There are 12 integers that are factors of 3860. The greatest factor of 3860 is 3860.

4. How to Find the GCF of 3856 and 3860?

Answer:

Greatest Common Factor of 3856 and 3860 = 4

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 3860

3860 = 2 x 2 x 5 x 193

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 3856 and 3860 is 4