What is the Greatest Common Factor of 3978 and 3998?

Greatest common factor (GCF) of 3978 and 3998 is 2.

GCF(3978,3998) = 2

We will now calculate the prime factors of 3978 and 3998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3978 and 3998.

How to find the GCF of 3978 and 3998?

We will first find the prime factorization of 3978 and 3998. After we will calculate the factors of 3978 and 3998 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 3998

Prime factors of 3998 are 2, 1999. Prime factorization of 3998 in exponential form is:

3998 = 2¹ × 1999¹

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 3998

List of positive integer factors of 3998 that divides 3978 without a remainder.

1, 2, 1999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3978 and 3998. The biggest common factor number is the GCF number.
So the greatest common factor 3978 and 3998 is 2.

Also check out the Least Common Multiple of 3978 and 3998