What is the Greatest Common Factor of 3997 and 4013?

Greatest common factor (GCF) of 3997 and 4013 is 1.

GCF(3997,4013) = 1

We will now calculate the prime factors of 3997 and 4013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3997 and 4013.

How to find the GCF of 3997 and 4013?

We will first find the prime factorization of 3997 and 4013. After we will calculate the factors of 3997 and 4013 and find the biggest common factor number .

Step-1: Prime Factorization of 3997

Prime factors of 3997 are 7, 571. Prime factorization of 3997 in exponential form is:

3997 = 7¹ × 571¹

Step-2: Prime Factorization of 4013

Prime factors of 4013 are 4013. Prime factorization of 4013 in exponential form is:

4013 = 4013¹

Step-3: Factors of 3997

List of positive integer factors of 3997 that divides 3997 without a remainder.

1, 7, 571

Step-4: Factors of 4013

List of positive integer factors of 4013 that divides 3997 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3997 and 4013. The biggest common factor number is the GCF number.
So the greatest common factor 3997 and 4013 is 1.

Also check out the Least Common Multiple of 3997 and 4013