What is the Greatest Common Factor of 33038 and 33057?

Greatest common factor (GCF) of 33038 and 33057 is 1.

GCF(33038,33057) = 1

We will now calculate the prime factors of 33038 and 33057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33038 and 33057.

How to find the GCF of 33038 and 33057?

We will first find the prime factorization of 33038 and 33057. After we will calculate the factors of 33038 and 33057 and find the biggest common factor number .

Step-1: Prime Factorization of 33038

Prime factors of 33038 are 2, 16519. Prime factorization of 33038 in exponential form is:

33038 = 2¹ × 16519¹

Step-2: Prime Factorization of 33057

Prime factors of 33057 are 3, 3673. Prime factorization of 33057 in exponential form is:

33057 = 3² × 3673¹

Step-3: Factors of 33038

List of positive integer factors of 33038 that divides 33038 without a remainder.

1, 2, 16519

Step-4: Factors of 33057

List of positive integer factors of 33057 that divides 33038 without a remainder.

1, 3, 9, 3673, 11019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33038 and 33057. The biggest common factor number is the GCF number.
So the greatest common factor 33038 and 33057 is 1.

Also check out the Least Common Multiple of 33038 and 33057