What is the Greatest Common Factor of 33027 and 33036?

Greatest common factor (GCF) of 33027 and 33036 is 3.

GCF(33027,33036) = 3

We will now calculate the prime factors of 33027 and 33036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33027 and 33036.

How to find the GCF of 33027 and 33036?

We will first find the prime factorization of 33027 and 33036. After we will calculate the factors of 33027 and 33036 and find the biggest common factor number .

Step-1: Prime Factorization of 33027

Prime factors of 33027 are 3, 101, 109. Prime factorization of 33027 in exponential form is:

33027 = 3¹ × 101¹ × 109¹

Step-2: Prime Factorization of 33036

Prime factors of 33036 are 2, 3, 2753. Prime factorization of 33036 in exponential form is:

33036 = 2² × 3¹ × 2753¹

Step-3: Factors of 33027

List of positive integer factors of 33027 that divides 33027 without a remainder.

1, 3, 101, 109, 303, 327, 11009

Step-4: Factors of 33036

List of positive integer factors of 33036 that divides 33027 without a remainder.

1, 2, 3, 4, 6, 12, 2753, 5506, 8259, 11012, 16518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33027 and 33036. The biggest common factor number is the GCF number.
So the greatest common factor 33027 and 33036 is 3.

Also check out the Least Common Multiple of 33027 and 33036