What is the Greatest Common Factor of 3027 and 3033?

Greatest common factor (GCF) of 3027 and 3033 is 3.

GCF(3027,3033) = 3

We will now calculate the prime factors of 3027 and 3033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3027 and 3033.

How to find the GCF of 3027 and 3033?

We will first find the prime factorization of 3027 and 3033. After we will calculate the factors of 3027 and 3033 and find the biggest common factor number .

Step-1: Prime Factorization of 3027

Prime factors of 3027 are 3, 1009. Prime factorization of 3027 in exponential form is:

3027 = 3¹ × 1009¹

Step-2: Prime Factorization of 3033

Prime factors of 3033 are 3, 337. Prime factorization of 3033 in exponential form is:

3033 = 3² × 337¹

Step-3: Factors of 3027

List of positive integer factors of 3027 that divides 3027 without a remainder.

1, 3, 1009

Step-4: Factors of 3033

List of positive integer factors of 3033 that divides 3027 without a remainder.

1, 3, 9, 337, 1011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3027 and 3033. The biggest common factor number is the GCF number.
So the greatest common factor 3027 and 3033 is 3.

Also check out the Least Common Multiple of 3027 and 3033