What is the Greatest Common Factor of 3984 and 3996?

Greatest common factor (GCF) of 3984 and 3996 is 12.

GCF(3984,3996) = 12

We will now calculate the prime factors of 3984 and 3996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3984 and 3996.

How to find the GCF of 3984 and 3996?

We will first find the prime factorization of 3984 and 3996. After we will calculate the factors of 3984 and 3996 and find the biggest common factor number .

Step-1: Prime Factorization of 3984

Prime factors of 3984 are 2, 3, 83. Prime factorization of 3984 in exponential form is:

3984 = 2⁴ × 3¹ × 83¹

Step-2: Prime Factorization of 3996

Prime factors of 3996 are 2, 3, 37. Prime factorization of 3996 in exponential form is:

3996 = 2² × 3³ × 37¹

Step-3: Factors of 3984

List of positive integer factors of 3984 that divides 3984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992

Step-4: Factors of 3996

List of positive integer factors of 3996 that divides 3984 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3984 and 3996. The biggest common factor number is the GCF number.
So the greatest common factor 3984 and 3996 is 12.

Also check out the Least Common Multiple of 3984 and 3996