What is the Greatest Common Factor of 84066 and 84081?

Greatest common factor (GCF) of 84066 and 84081 is 3.

GCF(84066,84081) = 3

We will now calculate the prime factors of 84066 and 84081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84066 and 84081.

How to find the GCF of 84066 and 84081?

We will first find the prime factorization of 84066 and 84081. After we will calculate the factors of 84066 and 84081 and find the biggest common factor number .

Step-1: Prime Factorization of 84066

Prime factors of 84066 are 2, 3, 14011. Prime factorization of 84066 in exponential form is:

84066 = 2¹ × 3¹ × 14011¹

Step-2: Prime Factorization of 84081

Prime factors of 84081 are 3, 28027. Prime factorization of 84081 in exponential form is:

84081 = 3¹ × 28027¹

Step-3: Factors of 84066

List of positive integer factors of 84066 that divides 84066 without a remainder.

1, 2, 3, 6, 14011, 28022, 42033

Step-4: Factors of 84081

List of positive integer factors of 84081 that divides 84066 without a remainder.

1, 3, 28027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84066 and 84081. The biggest common factor number is the GCF number.
So the greatest common factor 84066 and 84081 is 3.

Also check out the Least Common Multiple of 84066 and 84081