What is the Greatest Common Factor of 33188 and 33207?

Greatest common factor (GCF) of 33188 and 33207 is 1.

GCF(33188,33207) = 1

We will now calculate the prime factors of 33188 and 33207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33188 and 33207.

How to find the GCF of 33188 and 33207?

We will first find the prime factorization of 33188 and 33207. After we will calculate the factors of 33188 and 33207 and find the biggest common factor number .

Step-1: Prime Factorization of 33188

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

33188 = 2² × 8297¹

Step-2: Prime Factorization of 33207

Prime factors of 33207 are 3, 11069. Prime factorization of 33207 in exponential form is:

33207 = 3¹ × 11069¹

Step-3: Factors of 33188

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

1, 2, 4, 8297, 16594

Step-4: Factors of 33207

List of positive integer factors of 33207 that divides 33188 without a remainder.

1, 3, 11069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33188 and 33207. The biggest common factor number is the GCF number.
So the greatest common factor 33188 and 33207 is 1.

Also check out the Least Common Multiple of 33188 and 33207