What is the Greatest Common Factor of 18051 and 18066?

Greatest common factor (GCF) of 18051 and 18066 is 3.

GCF(18051,18066) = 3

We will now calculate the prime factors of 18051 and 18066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18051 and 18066.

How to find the GCF of 18051 and 18066?

We will first find the prime factorization of 18051 and 18066. After we will calculate the factors of 18051 and 18066 and find the biggest common factor number .

Step-1: Prime Factorization of 18051

Prime factors of 18051 are 3, 11, 547. Prime factorization of 18051 in exponential form is:

18051 = 3¹ × 11¹ × 547¹

Step-2: Prime Factorization of 18066

Prime factors of 18066 are 2, 3, 3011. Prime factorization of 18066 in exponential form is:

18066 = 2¹ × 3¹ × 3011¹

Step-3: Factors of 18051

List of positive integer factors of 18051 that divides 18051 without a remainder.

1, 3, 11, 33, 547, 1641, 6017

Step-4: Factors of 18066

List of positive integer factors of 18066 that divides 18051 without a remainder.

1, 2, 3, 6, 3011, 6022, 9033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18051 and 18066. The biggest common factor number is the GCF number.
So the greatest common factor 18051 and 18066 is 3.

Also check out the Least Common Multiple of 18051 and 18066