What is the Greatest Common Factor of 33066 and 33081?

Greatest common factor (GCF) of 33066 and 33081 is 3.

GCF(33066,33081) = 3

We will now calculate the prime factors of 33066 and 33081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33066 and 33081.

How to find the GCF of 33066 and 33081?

We will first find the prime factorization of 33066 and 33081. After we will calculate the factors of 33066 and 33081 and find the biggest common factor number .

Step-1: Prime Factorization of 33066

Prime factors of 33066 are 2, 3, 11, 167. Prime factorization of 33066 in exponential form is:

33066 = 2¹ × 3² × 11¹ × 167¹

Step-2: Prime Factorization of 33081

Prime factors of 33081 are 3, 11027. Prime factorization of 33081 in exponential form is:

33081 = 3¹ × 11027¹

Step-3: Factors of 33066

List of positive integer factors of 33066 that divides 33066 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 167, 198, 334, 501, 1002, 1503, 1837, 3006, 3674, 5511, 11022, 16533

Step-4: Factors of 33081

List of positive integer factors of 33081 that divides 33066 without a remainder.

1, 3, 11027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33066 and 33081. The biggest common factor number is the GCF number.
So the greatest common factor 33066 and 33081 is 3.

Also check out the Least Common Multiple of 33066 and 33081