What is the Greatest Common Factor of 32966 and 32974?

Greatest common factor (GCF) of 32966 and 32974 is 2.

GCF(32966,32974) = 2

We will now calculate the prime factors of 32966 and 32974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32966 and 32974.

How to find the GCF of 32966 and 32974?

We will first find the prime factorization of 32966 and 32974. After we will calculate the factors of 32966 and 32974 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 32974

Prime factors of 32974 are 2, 16487. Prime factorization of 32974 in exponential form is:

32974 = 2¹ × 16487¹

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 32974

List of positive integer factors of 32974 that divides 32966 without a remainder.

1, 2, 16487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32966 and 32974. The biggest common factor number is the GCF number.
So the greatest common factor 32966 and 32974 is 2.

Also check out the Least Common Multiple of 32966 and 32974