What is the Greatest Common Factor of 3831 and 3849?

Greatest common factor (GCF) of 3831 and 3849 is 3.

GCF(3831,3849) = 3

We will now calculate the prime factors of 3831 and 3849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3831 and 3849.

How to find the GCF of 3831 and 3849?

We will first find the prime factorization of 3831 and 3849. After we will calculate the factors of 3831 and 3849 and find the biggest common factor number .

Step-1: Prime Factorization of 3831

Prime factors of 3831 are 3, 1277. Prime factorization of 3831 in exponential form is:

3831 = 3¹ × 1277¹

Step-2: Prime Factorization of 3849

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

3849 = 3¹ × 1283¹

Step-3: Factors of 3831

List of positive integer factors of 3831 that divides 3831 without a remainder.

1, 3, 1277

Step-4: Factors of 3849

List of positive integer factors of 3849 that divides 3831 without a remainder.

1, 3, 1283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3831 and 3849. The biggest common factor number is the GCF number.
So the greatest common factor 3831 and 3849 is 3.

Also check out the Least Common Multiple of 3831 and 3849