What is the Greatest Common Factor of 3984 and 3989?

Greatest common factor (GCF) of 3984 and 3989 is 1.

GCF(3984,3989) = 1

We will now calculate the prime factors of 3984 and 3989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3984 and 3989.

How to find the GCF of 3984 and 3989?

We will first find the prime factorization of 3984 and 3989. After we will calculate the factors of 3984 and 3989 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 3989

Prime factors of 3989 are 3989. Prime factorization of 3989 in exponential form is:

3989 = 3989¹

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 3989

List of positive integer factors of 3989 that divides 3984 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3984 and 3989. The biggest common factor number is the GCF number.
So the greatest common factor 3984 and 3989 is 1.

Also check out the Least Common Multiple of 3984 and 3989