What is the Greatest Common Factor of 32065 and 32077?

Greatest common factor (GCF) of 32065 and 32077 is 1.

GCF(32065,32077) = 1

We will now calculate the prime factors of 32065 and 32077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32065 and 32077.

How to find the GCF of 32065 and 32077?

We will first find the prime factorization of 32065 and 32077. After we will calculate the factors of 32065 and 32077 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 32077

Prime factors of 32077 are 32077. Prime factorization of 32077 in exponential form is:

32077 = 32077¹

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 32077

List of positive integer factors of 32077 that divides 32065 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32065 and 32077. The biggest common factor number is the GCF number.
So the greatest common factor 32065 and 32077 is 1.

Also check out the Least Common Multiple of 32065 and 32077