What is the Greatest Common Factor of 3965 and 3981?

Greatest common factor (GCF) of 3965 and 3981 is 1.

GCF(3965,3981) = 1

We will now calculate the prime factors of 3965 and 3981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3965 and 3981.

How to find the GCF of 3965 and 3981?

We will first find the prime factorization of 3965 and 3981. After we will calculate the factors of 3965 and 3981 and find the biggest common factor number .

Step-1: Prime Factorization of 3965

Prime factors of 3965 are 5, 13, 61. Prime factorization of 3965 in exponential form is:

3965 = 5¹ × 13¹ × 61¹

Step-2: Prime Factorization of 3981

Prime factors of 3981 are 3, 1327. Prime factorization of 3981 in exponential form is:

3981 = 3¹ × 1327¹

Step-3: Factors of 3965

List of positive integer factors of 3965 that divides 3965 without a remainder.

1, 5, 13, 61, 65, 305, 793

Step-4: Factors of 3981

List of positive integer factors of 3981 that divides 3965 without a remainder.

1, 3, 1327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3965 and 3981. The biggest common factor number is the GCF number.
So the greatest common factor 3965 and 3981 is 1.

Also check out the Least Common Multiple of 3965 and 3981