What is the Greatest Common Factor of 32746 and 32764?

Greatest common factor (GCF) of 32746 and 32764 is 2.

GCF(32746,32764) = 2

We will now calculate the prime factors of 32746 and 32764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32746 and 32764.

How to find the GCF of 32746 and 32764?

We will first find the prime factorization of 32746 and 32764. After we will calculate the factors of 32746 and 32764 and find the biggest common factor number .

Step-1: Prime Factorization of 32746

Prime factors of 32746 are 2, 7, 2339. Prime factorization of 32746 in exponential form is:

32746 = 2¹ × 7¹ × 2339¹

Step-2: Prime Factorization of 32764

Prime factors of 32764 are 2, 8191. Prime factorization of 32764 in exponential form is:

32764 = 2² × 8191¹

Step-3: Factors of 32746

List of positive integer factors of 32746 that divides 32746 without a remainder.

1, 2, 7, 14, 2339, 4678, 16373

Step-4: Factors of 32764

List of positive integer factors of 32764 that divides 32746 without a remainder.

1, 2, 4, 8191, 16382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32746 and 32764. The biggest common factor number is the GCF number.
So the greatest common factor 32746 and 32764 is 2.

Also check out the Least Common Multiple of 32746 and 32764