What is the Greatest Common Factor of 32766 and 32771?

Greatest common factor (GCF) of 32766 and 32771 is 1.

GCF(32766,32771) = 1

We will now calculate the prime factors of 32766 and 32771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32766 and 32771.

How to find the GCF of 32766 and 32771?

We will first find the prime factorization of 32766 and 32771. After we will calculate the factors of 32766 and 32771 and find the biggest common factor number .

Step-1: Prime Factorization of 32766

Prime factors of 32766 are 2, 3, 43, 127. Prime factorization of 32766 in exponential form is:

32766 = 2¹ × 3¹ × 43¹ × 127¹

Step-2: Prime Factorization of 32771

Prime factors of 32771 are 32771. Prime factorization of 32771 in exponential form is:

32771 = 32771¹

Step-3: Factors of 32766

List of positive integer factors of 32766 that divides 32766 without a remainder.

1, 2, 3, 6, 43, 86, 127, 129, 254, 258, 381, 762, 5461, 10922, 16383

Step-4: Factors of 32771

List of positive integer factors of 32771 that divides 32766 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32766 and 32771. The biggest common factor number is the GCF number.
So the greatest common factor 32766 and 32771 is 1.

Also check out the Least Common Multiple of 32766 and 32771