What is the Greatest Common Factor of 3997 and 4002?

Greatest common factor (GCF) of 3997 and 4002 is 1.

GCF(3997,4002) = 1

We will now calculate the prime factors of 3997 and 4002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3997 and 4002.

How to find the GCF of 3997 and 4002?

We will first find the prime factorization of 3997 and 4002. After we will calculate the factors of 3997 and 4002 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 4002

Prime factors of 4002 are 2, 3, 23, 29. Prime factorization of 4002 in exponential form is:

4002 = 2¹ × 3¹ × 23¹ × 29¹

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 4002

List of positive integer factors of 4002 that divides 3997 without a remainder.

1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3997 and 4002. The biggest common factor number is the GCF number.
So the greatest common factor 3997 and 4002 is 1.

Also check out the Least Common Multiple of 3997 and 4002