What is the Greatest Common Factor of 32966 and 32971?

Greatest common factor (GCF) of 32966 and 32971 is 1.

GCF(32966,32971) = 1

We will now calculate the prime factors of 32966 and 32971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32966 and 32971.

How to find the GCF of 32966 and 32971?

We will first find the prime factorization of 32966 and 32971. After we will calculate the factors of 32966 and 32971 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32971

Prime factors of 32971 are 32971. Prime factorization of 32971 in exponential form is:

32971 = 32971¹

Step-3: Factors of 32966

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

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

Step-4: Factors of 32971

List of positive integer factors of 32971 that divides 32966 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32966 and 32971. The biggest common factor number is the GCF number.
So the greatest common factor 32966 and 32971 is 1.

Also check out the Least Common Multiple of 32966 and 32971