What is the Greatest Common Factor of 3849 and 3867?

Greatest common factor (GCF) of 3849 and 3867 is 3.

GCF(3849,3867) = 3

We will now calculate the prime factors of 3849 and 3867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3849 and 3867.

How to find the GCF of 3849 and 3867?

We will first find the prime factorization of 3849 and 3867. After we will calculate the factors of 3849 and 3867 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 3867

Prime factors of 3867 are 3, 1289. Prime factorization of 3867 in exponential form is:

3867 = 3¹ × 1289¹

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 3867

List of positive integer factors of 3867 that divides 3849 without a remainder.

1, 3, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3849 and 3867. The biggest common factor number is the GCF number.
So the greatest common factor 3849 and 3867 is 3.

Also check out the Least Common Multiple of 3849 and 3867