What is the Greatest Common Factor of 33051 and 33066?

Greatest common factor (GCF) of 33051 and 33066 is 3.

GCF(33051,33066) = 3

We will now calculate the prime factors of 33051 and 33066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33051 and 33066.

How to find the GCF of 33051 and 33066?

We will first find the prime factorization of 33051 and 33066. After we will calculate the factors of 33051 and 33066 and find the biggest common factor number .

Step-1: Prime Factorization of 33051

Prime factors of 33051 are 3, 23, 479. Prime factorization of 33051 in exponential form is:

33051 = 3¹ × 23¹ × 479¹

Step-2: 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-3: Factors of 33051

List of positive integer factors of 33051 that divides 33051 without a remainder.

1, 3, 23, 69, 479, 1437, 11017

Step-4: Factors of 33066

List of positive integer factors of 33066 that divides 33051 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33051 and 33066. The biggest common factor number is the GCF number.
So the greatest common factor 33051 and 33066 is 3.

Also check out the Least Common Multiple of 33051 and 33066