What is the Greatest Common Factor of 3978 and 3997?

Greatest common factor (GCF) of 3978 and 3997 is 1.

GCF(3978,3997) = 1

We will now calculate the prime factors of 3978 and 3997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3978 and 3997.

How to find the GCF of 3978 and 3997?

We will first find the prime factorization of 3978 and 3997. After we will calculate the factors of 3978 and 3997 and find the biggest common factor number .

Step-1: Prime Factorization of 3978

Prime factors of 3978 are 2, 3, 13, 17. Prime factorization of 3978 in exponential form is:

3978 = 2¹ × 3² × 13¹ × 17¹

Step-2: Prime Factorization of 3997

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

3997 = 7¹ × 571¹

Step-3: Factors of 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989

Step-4: Factors of 3997

List of positive integer factors of 3997 that divides 3978 without a remainder.

1, 7, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3978 and 3997. The biggest common factor number is the GCF number.
So the greatest common factor 3978 and 3997 is 1.

Also check out the Least Common Multiple of 3978 and 3997