What is the Greatest Common Factor of 33066 and 33071?

Greatest common factor (GCF) of 33066 and 33071 is 1.

GCF(33066,33071) = 1

We will now calculate the prime factors of 33066 and 33071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33066 and 33071.

How to find the GCF of 33066 and 33071?

We will first find the prime factorization of 33066 and 33071. After we will calculate the factors of 33066 and 33071 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 33071

Prime factors of 33071 are 33071. Prime factorization of 33071 in exponential form is:

33071 = 33071¹

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 33071

List of positive integer factors of 33071 that divides 33066 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33066 and 33071. The biggest common factor number is the GCF number.
So the greatest common factor 33066 and 33071 is 1.

Also check out the Least Common Multiple of 33066 and 33071