What is the Greatest Common Factor of 3968 and 3974?

Greatest common factor (GCF) of 3968 and 3974 is 2.

GCF(3968,3974) = 2

We will now calculate the prime factors of 3968 and 3974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3968 and 3974.

How to find the GCF of 3968 and 3974?

We will first find the prime factorization of 3968 and 3974. After we will calculate the factors of 3968 and 3974 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 3974

Prime factors of 3974 are 2, 1987. Prime factorization of 3974 in exponential form is:

3974 = 2¹ × 1987¹

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 3974

List of positive integer factors of 3974 that divides 3968 without a remainder.

1, 2, 1987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3968 and 3974. The biggest common factor number is the GCF number.
So the greatest common factor 3968 and 3974 is 2.

Also check out the Least Common Multiple of 3968 and 3974