What is the Greatest Common Factor of 3894 and 3903?

Greatest common factor (GCF) of 3894 and 3903 is 3.

GCF(3894,3903) = 3

We will now calculate the prime factors of 3894 and 3903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3894 and 3903.

How to find the GCF of 3894 and 3903?

We will first find the prime factorization of 3894 and 3903. After we will calculate the factors of 3894 and 3903 and find the biggest common factor number .

Step-1: Prime Factorization of 3894

Prime factors of 3894 are 2, 3, 11, 59. Prime factorization of 3894 in exponential form is:

3894 = 2¹ × 3¹ × 11¹ × 59¹

Step-2: Prime Factorization of 3903

Prime factors of 3903 are 3, 1301. Prime factorization of 3903 in exponential form is:

3903 = 3¹ × 1301¹

Step-3: Factors of 3894

List of positive integer factors of 3894 that divides 3894 without a remainder.

1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947

Step-4: Factors of 3903

List of positive integer factors of 3903 that divides 3894 without a remainder.

1, 3, 1301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3894 and 3903. The biggest common factor number is the GCF number.
So the greatest common factor 3894 and 3903 is 3.

Also check out the Least Common Multiple of 3894 and 3903