What is the Greatest Common Factor of 3966 and 3975?

Greatest common factor (GCF) of 3966 and 3975 is 3.

GCF(3966,3975) = 3

We will now calculate the prime factors of 3966 and 3975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3966 and 3975.

How to find the GCF of 3966 and 3975?

We will first find the prime factorization of 3966 and 3975. After we will calculate the factors of 3966 and 3975 and find the biggest common factor number .

Step-1: Prime Factorization of 3966

Prime factors of 3966 are 2, 3, 661. Prime factorization of 3966 in exponential form is:

3966 = 2¹ × 3¹ × 661¹

Step-2: Prime Factorization of 3975

Prime factors of 3975 are 3, 5, 53. Prime factorization of 3975 in exponential form is:

3975 = 3¹ × 5² × 53¹

Step-3: Factors of 3966

List of positive integer factors of 3966 that divides 3966 without a remainder.

1, 2, 3, 6, 661, 1322, 1983

Step-4: Factors of 3975

List of positive integer factors of 3975 that divides 3966 without a remainder.

1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3966 and 3975. The biggest common factor number is the GCF number.
So the greatest common factor 3966 and 3975 is 3.

Also check out the Least Common Multiple of 3966 and 3975