What is the Greatest Common Factor of 32958 and 32966?

Greatest common factor (GCF) of 32958 and 32966 is 2.

GCF(32958,32966) = 2

We will now calculate the prime factors of 32958 and 32966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32958 and 32966.

How to find the GCF of 32958 and 32966?

We will first find the prime factorization of 32958 and 32966. After we will calculate the factors of 32958 and 32966 and find the biggest common factor number .

Step-1: Prime Factorization of 32958

Prime factors of 32958 are 2, 3, 1831. Prime factorization of 32958 in exponential form is:

32958 = 2¹ × 3² × 1831¹

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 32958

List of positive integer factors of 32958 that divides 32958 without a remainder.

1, 2, 3, 6, 9, 18, 1831, 3662, 5493, 10986, 16479

Step-4: Factors of 32966

List of positive integer factors of 32966 that divides 32958 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32958 and 32966. The biggest common factor number is the GCF number.
So the greatest common factor 32958 and 32966 is 2.

Also check out the Least Common Multiple of 32958 and 32966