What is the Greatest Common Factor of 33057 and 33063?

Greatest common factor (GCF) of 33057 and 33063 is 3.

GCF(33057,33063) = 3

We will now calculate the prime factors of 33057 and 33063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33057 and 33063.

How to find the GCF of 33057 and 33063?

We will first find the prime factorization of 33057 and 33063. After we will calculate the factors of 33057 and 33063 and find the biggest common factor number .

Step-1: Prime Factorization of 33057

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

33057 = 3² × 3673¹

Step-2: Prime Factorization of 33063

Prime factors of 33063 are 3, 103, 107. Prime factorization of 33063 in exponential form is:

33063 = 3¹ × 103¹ × 107¹

Step-3: Factors of 33057

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

1, 3, 9, 3673, 11019

Step-4: Factors of 33063

List of positive integer factors of 33063 that divides 33057 without a remainder.

1, 3, 103, 107, 309, 321, 11021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33057 and 33063. The biggest common factor number is the GCF number.
So the greatest common factor 33057 and 33063 is 3.

Also check out the Least Common Multiple of 33057 and 33063