What is the Greatest Common Factor of 3968 and 3978?

Greatest common factor (GCF) of 3968 and 3978 is 2.

GCF(3968,3978) = 2

We will now calculate the prime factors of 3968 and 3978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3968 and 3978.

How to find the GCF of 3968 and 3978?

We will first find the prime factorization of 3968 and 3978. After we will calculate the factors of 3968 and 3978 and find the biggest common factor number .

Step-1: Prime Factorization of 3968

Prime factors of 3968 are 2, 31. Prime factorization of 3968 in exponential form is:

3968 = 2⁷ × 31¹

Step-2: 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-3: Factors of 3968

List of positive integer factors of 3968 that divides 3968 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984

Step-4: Factors of 3978

List of positive integer factors of 3978 that divides 3968 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3968 and 3978. The biggest common factor number is the GCF number.
So the greatest common factor 3968 and 3978 is 2.

Also check out the Least Common Multiple of 3968 and 3978