What is the Greatest Common Factor of 66075 and 66084?

Greatest common factor (GCF) of 66075 and 66084 is 3.

GCF(66075,66084) = 3

We will now calculate the prime factors of 66075 and 66084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66075 and 66084.

How to find the GCF of 66075 and 66084?

We will first find the prime factorization of 66075 and 66084. After we will calculate the factors of 66075 and 66084 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 66084

Prime factors of 66084 are 2, 3, 5507. Prime factorization of 66084 in exponential form is:

66084 = 2² × 3¹ × 5507¹

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 66084

List of positive integer factors of 66084 that divides 66075 without a remainder.

1, 2, 3, 4, 6, 12, 5507, 11014, 16521, 22028, 33042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66075 and 66084. The biggest common factor number is the GCF number.
So the greatest common factor 66075 and 66084 is 3.

Also check out the Least Common Multiple of 66075 and 66084