What is the Greatest Common Factor of 3974 and 3989?

Greatest common factor (GCF) of 3974 and 3989 is 1.

GCF(3974,3989) = 1

We will now calculate the prime factors of 3974 and 3989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3974 and 3989.

How to find the GCF of 3974 and 3989?

We will first find the prime factorization of 3974 and 3989. After we will calculate the factors of 3974 and 3989 and find the biggest common factor number .

Step-1: Prime Factorization of 3974

Prime factors of 3974 are 2, 1987. Prime factorization of 3974 in exponential form is:

3974 = 2¹ × 1987¹

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 3974

List of positive integer factors of 3974 that divides 3974 without a remainder.

1, 2, 1987

Step-4: Factors of 3989

List of positive integer factors of 3989 that divides 3974 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3974 and 3989. The biggest common factor number is the GCF number.
So the greatest common factor 3974 and 3989 is 1.

Also check out the Least Common Multiple of 3974 and 3989