What is the Greatest Common Factor of 3966 and 3976?

Greatest common factor (GCF) of 3966 and 3976 is 2.

GCF(3966,3976) = 2

We will now calculate the prime factors of 3966 and 3976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3966 and 3976.

How to find the GCF of 3966 and 3976?

We will first find the prime factorization of 3966 and 3976. After we will calculate the factors of 3966 and 3976 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 3976

Prime factors of 3976 are 2, 7, 71. Prime factorization of 3976 in exponential form is:

3976 = 2³ × 7¹ × 71¹

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 3976

List of positive integer factors of 3976 that divides 3966 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3966 and 3976. The biggest common factor number is the GCF number.
So the greatest common factor 3966 and 3976 is 2.

Also check out the Least Common Multiple of 3966 and 3976