What is the Greatest Common Factor of 32768 and 32773?

Greatest common factor (GCF) of 32768 and 32773 is 1.

GCF(32768,32773) = 1

We will now calculate the prime factors of 32768 and 32773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32768 and 32773.

How to find the GCF of 32768 and 32773?

We will first find the prime factorization of 32768 and 32773. After we will calculate the factors of 32768 and 32773 and find the biggest common factor number .

Step-1: Prime Factorization of 32768

Prime factors of 32768 are 2. Prime factorization of 32768 in exponential form is:

32768 = 2¹⁵

Step-2: Prime Factorization of 32773

Prime factors of 32773 are 13, 2521. Prime factorization of 32773 in exponential form is:

32773 = 13¹ × 2521¹

Step-3: Factors of 32768

List of positive integer factors of 32768 that divides 32768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384

Step-4: Factors of 32773

List of positive integer factors of 32773 that divides 32768 without a remainder.

1, 13, 2521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32768 and 32773. The biggest common factor number is the GCF number.
So the greatest common factor 32768 and 32773 is 1.

Also check out the Least Common Multiple of 32768 and 32773