What is the Greatest Common Factor of 33298 and 33316?

Greatest common factor (GCF) of 33298 and 33316 is 2.

GCF(33298,33316) = 2

We will now calculate the prime factors of 33298 and 33316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33298 and 33316.

How to find the GCF of 33298 and 33316?

We will first find the prime factorization of 33298 and 33316. After we will calculate the factors of 33298 and 33316 and find the biggest common factor number .

Step-1: Prime Factorization of 33298

Prime factors of 33298 are 2, 16649. Prime factorization of 33298 in exponential form is:

33298 = 2¹ × 16649¹

Step-2: Prime Factorization of 33316

Prime factors of 33316 are 2, 8329. Prime factorization of 33316 in exponential form is:

33316 = 2² × 8329¹

Step-3: Factors of 33298

List of positive integer factors of 33298 that divides 33298 without a remainder.

1, 2, 16649

Step-4: Factors of 33316

List of positive integer factors of 33316 that divides 33298 without a remainder.

1, 2, 4, 8329, 16658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33298 and 33316. The biggest common factor number is the GCF number.
So the greatest common factor 33298 and 33316 is 2.

Also check out the Least Common Multiple of 33298 and 33316