What is the Greatest Common Factor of 66027 and 66033?

Greatest common factor (GCF) of 66027 and 66033 is 3.

GCF(66027,66033) = 3

We will now calculate the prime factors of 66027 and 66033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66027 and 66033.

How to find the GCF of 66027 and 66033?

We will first find the prime factorization of 66027 and 66033. After we will calculate the factors of 66027 and 66033 and find the biggest common factor number .

Step-1: Prime Factorization of 66027

Prime factors of 66027 are 3, 13, 1693. Prime factorization of 66027 in exponential form is:

66027 = 3¹ × 13¹ × 1693¹

Step-2: Prime Factorization of 66033

Prime factors of 66033 are 3, 11, 23, 29. Prime factorization of 66033 in exponential form is:

66033 = 3² × 11¹ × 23¹ × 29¹

Step-3: Factors of 66027

List of positive integer factors of 66027 that divides 66027 without a remainder.

1, 3, 13, 39, 1693, 5079, 22009

Step-4: Factors of 66033

List of positive integer factors of 66033 that divides 66027 without a remainder.

1, 3, 9, 11, 23, 29, 33, 69, 87, 99, 207, 253, 261, 319, 667, 759, 957, 2001, 2277, 2871, 6003, 7337, 22011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66027 and 66033. The biggest common factor number is the GCF number.
So the greatest common factor 66027 and 66033 is 3.

Also check out the Least Common Multiple of 66027 and 66033