What is the Greatest Common Factor of 33266 and 33277?

Greatest common factor (GCF) of 33266 and 33277 is 1.

GCF(33266,33277) = 1

We will now calculate the prime factors of 33266 and 33277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33266 and 33277.

How to find the GCF of 33266 and 33277?

We will first find the prime factorization of 33266 and 33277. After we will calculate the factors of 33266 and 33277 and find the biggest common factor number .

Step-1: Prime Factorization of 33266

Prime factors of 33266 are 2, 16633. Prime factorization of 33266 in exponential form is:

33266 = 2¹ × 16633¹

Step-2: Prime Factorization of 33277

Prime factors of 33277 are 107, 311. Prime factorization of 33277 in exponential form is:

33277 = 107¹ × 311¹

Step-3: Factors of 33266

List of positive integer factors of 33266 that divides 33266 without a remainder.

1, 2, 16633

Step-4: Factors of 33277

List of positive integer factors of 33277 that divides 33266 without a remainder.

1, 107, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33266 and 33277. The biggest common factor number is the GCF number.
So the greatest common factor 33266 and 33277 is 1.

Also check out the Least Common Multiple of 33266 and 33277