What is the Greatest Common Factor of 3978 and 3996?

Greatest common factor (GCF) of 3978 and 3996 is 18.

GCF(3978,3996) = 18

We will now calculate the prime factors of 3978 and 3996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3978 and 3996.

How to find the GCF of 3978 and 3996?

We will first find the prime factorization of 3978 and 3996. After we will calculate the factors of 3978 and 3996 and find the biggest common factor number .

Step-1: Prime Factorization of 3978

Prime factors of 3978 are 2, 3, 13, 17. Prime factorization of 3978 in exponential form is:

3978 = 2¹ × 3² × 13¹ × 17¹

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 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989

Step-4: Factors of 3996

List of positive integer factors of 3996 that divides 3978 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 3978 and 3996. The biggest common factor number is the GCF number.
So the greatest common factor 3978 and 3996 is 18.

Also check out the Least Common Multiple of 3978 and 3996