What is the Greatest Common Factor of 33066 and 33074?

Greatest common factor (GCF) of 33066 and 33074 is 2.

GCF(33066,33074) = 2

We will now calculate the prime factors of 33066 and 33074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33066 and 33074.

How to find the GCF of 33066 and 33074?

We will first find the prime factorization of 33066 and 33074. After we will calculate the factors of 33066 and 33074 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 33074

Prime factors of 33074 are 2, 23, 719. Prime factorization of 33074 in exponential form is:

33074 = 2¹ × 23¹ × 719¹

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 33074

List of positive integer factors of 33074 that divides 33066 without a remainder.

1, 2, 23, 46, 719, 1438, 16537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33066 and 33074. The biggest common factor number is the GCF number.
So the greatest common factor 33066 and 33074 is 2.

Also check out the Least Common Multiple of 33066 and 33074