What is the Greatest Common Factor of 66075 and 66090?

Greatest common factor (GCF) of 66075 and 66090 is 15.

GCF(66075,66090) = 15

We will now calculate the prime factors of 66075 and 66090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66075 and 66090.

How to find the GCF of 66075 and 66090?

We will first find the prime factorization of 66075 and 66090. After we will calculate the factors of 66075 and 66090 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 66090

Prime factors of 66090 are 2, 3, 5, 2203. Prime factorization of 66090 in exponential form is:

66090 = 2¹ × 3¹ × 5¹ × 2203¹

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 66090

List of positive integer factors of 66090 that divides 66075 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2203, 4406, 6609, 11015, 13218, 22030, 33045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66075 and 66090. The biggest common factor number is the GCF number.
So the greatest common factor 66075 and 66090 is 15.

Also check out the Least Common Multiple of 66075 and 66090