What is the Greatest Common Factor of 32065 and 32071?

Greatest common factor (GCF) of 32065 and 32071 is 1.

GCF(32065,32071) = 1

We will now calculate the prime factors of 32065 and 32071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32065 and 32071.

How to find the GCF of 32065 and 32071?

We will first find the prime factorization of 32065 and 32071. After we will calculate the factors of 32065 and 32071 and find the biggest common factor number .

Step-1: Prime Factorization of 32065

Prime factors of 32065 are 5, 11, 53. Prime factorization of 32065 in exponential form is:

32065 = 5¹ × 11² × 53¹

Step-2: Prime Factorization of 32071

Prime factors of 32071 are 13, 2467. Prime factorization of 32071 in exponential form is:

32071 = 13¹ × 2467¹

Step-3: Factors of 32065

List of positive integer factors of 32065 that divides 32065 without a remainder.

1, 5, 11, 53, 55, 121, 265, 583, 605, 2915, 6413

Step-4: Factors of 32071

List of positive integer factors of 32071 that divides 32065 without a remainder.

1, 13, 2467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32065 and 32071. The biggest common factor number is the GCF number.
So the greatest common factor 32065 and 32071 is 1.

Also check out the Least Common Multiple of 32065 and 32071