What is the Greatest Common Factor of 3971 and 3989?

Greatest common factor (GCF) of 3971 and 3989 is 1.

GCF(3971,3989) = 1

We will now calculate the prime factors of 3971 and 3989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3971 and 3989.

How to find the GCF of 3971 and 3989?

We will first find the prime factorization of 3971 and 3989. After we will calculate the factors of 3971 and 3989 and find the biggest common factor number .

Step-1: Prime Factorization of 3971

Prime factors of 3971 are 11, 19. Prime factorization of 3971 in exponential form is:

3971 = 11¹ × 19²

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 3971

List of positive integer factors of 3971 that divides 3971 without a remainder.

1, 11, 19, 209, 361

Step-4: Factors of 3989

List of positive integer factors of 3989 that divides 3971 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3971 and 3989. The biggest common factor number is the GCF number.
So the greatest common factor 3971 and 3989 is 1.

Also check out the Least Common Multiple of 3971 and 3989