What is the Greatest Common Factor of 33183 and 33197?

Greatest common factor (GCF) of 33183 and 33197 is 1.

GCF(33183,33197) = 1

We will now calculate the prime factors of 33183 and 33197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33183 and 33197.

How to find the GCF of 33183 and 33197?

We will first find the prime factorization of 33183 and 33197. After we will calculate the factors of 33183 and 33197 and find the biggest common factor number .

Step-1: Prime Factorization of 33183

Prime factors of 33183 are 3, 1229. Prime factorization of 33183 in exponential form is:

33183 = 3³ × 1229¹

Step-2: Prime Factorization of 33197

Prime factors of 33197 are 89, 373. Prime factorization of 33197 in exponential form is:

33197 = 89¹ × 373¹

Step-3: Factors of 33183

List of positive integer factors of 33183 that divides 33183 without a remainder.

1, 3, 9, 27, 1229, 3687, 11061

Step-4: Factors of 33197

List of positive integer factors of 33197 that divides 33183 without a remainder.

1, 89, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33183 and 33197. The biggest common factor number is the GCF number.
So the greatest common factor 33183 and 33197 is 1.

Also check out the Least Common Multiple of 33183 and 33197