What is the Greatest Common Factor of 3849 and 3856?

Greatest common factor (GCF) of 3849 and 3856 is 1.

GCF(3849,3856) = 1

We will now calculate the prime factors of 3849 and 3856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3849 and 3856.

How to find the GCF of 3849 and 3856?

We will first find the prime factorization of 3849 and 3856. After we will calculate the factors of 3849 and 3856 and find the biggest common factor number .

Step-1: Prime Factorization of 3849

Prime factors of 3849 are 3, 1283. Prime factorization of 3849 in exponential form is:

3849 = 3¹ × 1283¹

Step-2: Prime Factorization of 3856

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

3856 = 2⁴ × 241¹

Step-3: Factors of 3849

List of positive integer factors of 3849 that divides 3849 without a remainder.

1, 3, 1283

Step-4: Factors of 3856

List of positive integer factors of 3856 that divides 3849 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3849 and 3856. The biggest common factor number is the GCF number.
So the greatest common factor 3849 and 3856 is 1.

Also check out the Least Common Multiple of 3849 and 3856