What is the Greatest Common Factor of 32768 and 32777?

Greatest common factor (GCF) of 32768 and 32777 is 1.

GCF(32768,32777) = 1

We will now calculate the prime factors of 32768 and 32777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32768 and 32777.

How to find the GCF of 32768 and 32777?

We will first find the prime factorization of 32768 and 32777. After we will calculate the factors of 32768 and 32777 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 32777

Prime factors of 32777 are 73, 449. Prime factorization of 32777 in exponential form is:

32777 = 73¹ × 449¹

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 32777

List of positive integer factors of 32777 that divides 32768 without a remainder.

1, 73, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32768 and 32777. The biggest common factor number is the GCF number.
So the greatest common factor 32768 and 32777 is 1.

Also check out the Least Common Multiple of 32768 and 32777