What is the Greatest Common Factor of 66069 and 66075?

Greatest common factor (GCF) of 66069 and 66075 is 3.

GCF(66069,66075) = 3

We will now calculate the prime factors of 66069 and 66075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66069 and 66075.

How to find the GCF of 66069 and 66075?

We will first find the prime factorization of 66069 and 66075. After we will calculate the factors of 66069 and 66075 and find the biggest common factor number .

Step-1: Prime Factorization of 66069

Prime factors of 66069 are 3, 2447. Prime factorization of 66069 in exponential form is:

66069 = 3³ × 2447¹

Step-2: 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-3: Factors of 66069

List of positive integer factors of 66069 that divides 66069 without a remainder.

1, 3, 9, 27, 2447, 7341, 22023

Step-4: Factors of 66075

List of positive integer factors of 66075 that divides 66069 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66069 and 66075. The biggest common factor number is the GCF number.
So the greatest common factor 66069 and 66075 is 3.

Also check out the Least Common Multiple of 66069 and 66075