What is the Greatest Common Factor of 66597 and 66609?

Greatest common factor (GCF) of 66597 and 66609 is 3.

GCF(66597,66609) = 3

We will now calculate the prime factors of 66597 and 66609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66597 and 66609.

How to find the GCF of 66597 and 66609?

We will first find the prime factorization of 66597 and 66609. After we will calculate the factors of 66597 and 66609 and find the biggest common factor number .

Step-1: Prime Factorization of 66597

Prime factors of 66597 are 3, 79, 281. Prime factorization of 66597 in exponential form is:

66597 = 3¹ × 79¹ × 281¹

Step-2: Prime Factorization of 66609

Prime factors of 66609 are 3, 2467. Prime factorization of 66609 in exponential form is:

66609 = 3³ × 2467¹

Step-3: Factors of 66597

List of positive integer factors of 66597 that divides 66597 without a remainder.

1, 3, 79, 237, 281, 843, 22199

Step-4: Factors of 66609

List of positive integer factors of 66609 that divides 66597 without a remainder.

1, 3, 9, 27, 2467, 7401, 22203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66597 and 66609. The biggest common factor number is the GCF number.
So the greatest common factor 66597 and 66609 is 3.

Also check out the Least Common Multiple of 66597 and 66609