What is the Greatest Common Factor of 66075 and 66093?

Greatest common factor (GCF) of 66075 and 66093 is 3.

GCF(66075,66093) = 3

We will now calculate the prime factors of 66075 and 66093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66075 and 66093.

How to find the GCF of 66075 and 66093?

We will first find the prime factorization of 66075 and 66093. After we will calculate the factors of 66075 and 66093 and find the biggest common factor number .

Step-1: Prime Factorization of 66075

Prime factors of 66075 are 3, 5, 881. Prime factorization of 66075 in exponential form is:

66075 = 3¹ × 5² × 881¹

Step-2: Prime Factorization of 66093

Prime factors of 66093 are 3, 22031. Prime factorization of 66093 in exponential form is:

66093 = 3¹ × 22031¹

Step-3: Factors of 66075

List of positive integer factors of 66075 that divides 66075 without a remainder.

1, 3, 5, 15, 25, 75, 881, 2643, 4405, 13215, 22025

Step-4: Factors of 66093

List of positive integer factors of 66093 that divides 66075 without a remainder.

1, 3, 22031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66075 and 66093. The biggest common factor number is the GCF number.
So the greatest common factor 66075 and 66093 is 3.

Also check out the Least Common Multiple of 66075 and 66093