What is the Greatest Common Factor of 33178 and 33188?

Greatest common factor (GCF) of 33178 and 33188 is 2.

GCF(33178,33188) = 2

We will now calculate the prime factors of 33178 and 33188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33178 and 33188.

How to find the GCF of 33178 and 33188?

We will first find the prime factorization of 33178 and 33188. After we will calculate the factors of 33178 and 33188 and find the biggest common factor number .

Step-1: Prime Factorization of 33178

Prime factors of 33178 are 2, 53, 313. Prime factorization of 33178 in exponential form is:

33178 = 2¹ × 53¹ × 313¹

Step-2: Prime Factorization of 33188

Prime factors of 33188 are 2, 8297. Prime factorization of 33188 in exponential form is:

33188 = 2² × 8297¹

Step-3: Factors of 33178

List of positive integer factors of 33178 that divides 33178 without a remainder.

1, 2, 53, 106, 313, 626, 16589

Step-4: Factors of 33188

List of positive integer factors of 33188 that divides 33178 without a remainder.

1, 2, 4, 8297, 16594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33178 and 33188. The biggest common factor number is the GCF number.
So the greatest common factor 33178 and 33188 is 2.

Also check out the Least Common Multiple of 33178 and 33188