What is the Greatest Common Factor of 32959 and 32966?

Greatest common factor (GCF) of 32959 and 32966 is 1.

GCF(32959,32966) = 1

We will now calculate the prime factors of 32959 and 32966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32959 and 32966.

How to find the GCF of 32959 and 32966?

We will first find the prime factorization of 32959 and 32966. After we will calculate the factors of 32959 and 32966 and find the biggest common factor number .

Step-1: Prime Factorization of 32959

Prime factors of 32959 are 23, 1433. Prime factorization of 32959 in exponential form is:

32959 = 23¹ × 1433¹

Step-2: Prime Factorization of 32966

Prime factors of 32966 are 2, 53, 311. Prime factorization of 32966 in exponential form is:

32966 = 2¹ × 53¹ × 311¹

Step-3: Factors of 32959

List of positive integer factors of 32959 that divides 32959 without a remainder.

1, 23, 1433

Step-4: Factors of 32966

List of positive integer factors of 32966 that divides 32959 without a remainder.

1, 2, 53, 106, 311, 622, 16483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32959 and 32966. The biggest common factor number is the GCF number.
So the greatest common factor 32959 and 32966 is 1.

Also check out the Least Common Multiple of 32959 and 32966