What is the Greatest Common Factor of 33164 and 33182?

Greatest common factor (GCF) of 33164 and 33182 is 2.

GCF(33164,33182) = 2

We will now calculate the prime factors of 33164 and 33182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33164 and 33182.

How to find the GCF of 33164 and 33182?

We will first find the prime factorization of 33164 and 33182. After we will calculate the factors of 33164 and 33182 and find the biggest common factor number .

Step-1: Prime Factorization of 33164

Prime factors of 33164 are 2, 8291. Prime factorization of 33164 in exponential form is:

33164 = 2² × 8291¹

Step-2: Prime Factorization of 33182

Prime factors of 33182 are 2, 47, 353. Prime factorization of 33182 in exponential form is:

33182 = 2¹ × 47¹ × 353¹

Step-3: Factors of 33164

List of positive integer factors of 33164 that divides 33164 without a remainder.

1, 2, 4, 8291, 16582

Step-4: Factors of 33182

List of positive integer factors of 33182 that divides 33164 without a remainder.

1, 2, 47, 94, 353, 706, 16591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33164 and 33182. The biggest common factor number is the GCF number.
So the greatest common factor 33164 and 33182 is 2.

Also check out the Least Common Multiple of 33164 and 33182