What is the Greatest Common Factor of 32768 and 32785?

Greatest common factor (GCF) of 32768 and 32785 is 1.

GCF(32768,32785) = 1

We will now calculate the prime factors of 32768 and 32785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32768 and 32785.

How to find the GCF of 32768 and 32785?

We will first find the prime factorization of 32768 and 32785. After we will calculate the factors of 32768 and 32785 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 32785

Prime factors of 32785 are 5, 79, 83. Prime factorization of 32785 in exponential form is:

32785 = 5¹ × 79¹ × 83¹

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 32785

List of positive integer factors of 32785 that divides 32768 without a remainder.

1, 5, 79, 83, 395, 415, 6557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32768 and 32785. The biggest common factor number is the GCF number.
So the greatest common factor 32768 and 32785 is 1.

Also check out the Least Common Multiple of 32768 and 32785