What is the Greatest Common Factor of 3846 and 3861?

Greatest common factor (GCF) of 3846 and 3861 is 3.

GCF(3846,3861) = 3

We will now calculate the prime factors of 3846 and 3861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3846 and 3861.

How to find the GCF of 3846 and 3861?

We will first find the prime factorization of 3846 and 3861. After we will calculate the factors of 3846 and 3861 and find the biggest common factor number .

Step-1: Prime Factorization of 3846

Prime factors of 3846 are 2, 3, 641. Prime factorization of 3846 in exponential form is:

3846 = 2¹ × 3¹ × 641¹

Step-2: Prime Factorization of 3861

Prime factors of 3861 are 3, 11, 13. Prime factorization of 3861 in exponential form is:

3861 = 3³ × 11¹ × 13¹

Step-3: Factors of 3846

List of positive integer factors of 3846 that divides 3846 without a remainder.

1, 2, 3, 6, 641, 1282, 1923

Step-4: Factors of 3861

List of positive integer factors of 3861 that divides 3846 without a remainder.

1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 1287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3846 and 3861. The biggest common factor number is the GCF number.
So the greatest common factor 3846 and 3861 is 3.

Also check out the Least Common Multiple of 3846 and 3861