What is the Greatest Common Factor of 3971 and 3977?

Greatest common factor (GCF) of 3971 and 3977 is 1.

GCF(3971,3977) = 1

We will now calculate the prime factors of 3971 and 3977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3971 and 3977.

How to find the GCF of 3971 and 3977?

We will first find the prime factorization of 3971 and 3977. After we will calculate the factors of 3971 and 3977 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 3977

Prime factors of 3977 are 41, 97. Prime factorization of 3977 in exponential form is:

3977 = 41¹ × 97¹

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 3977

List of positive integer factors of 3977 that divides 3971 without a remainder.

1, 41, 97

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3971 and 3977. The biggest common factor number is the GCF number.
So the greatest common factor 3971 and 3977 is 1.

Also check out the Least Common Multiple of 3971 and 3977