What is the Greatest Common Factor of 597 and 609?

Greatest common factor (GCF) of 597 and 609 is 3.

GCF(597,609) = 3

We will now calculate the prime factors of 597 and 609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 597 and 609.

How to find the GCF of 597 and 609?

We will first find the prime factorization of 597 and 609. After we will calculate the factors of 597 and 609 and find the biggest common factor number .

Step-1: Prime Factorization of 597

Prime factors of 597 are 3, 199. Prime factorization of 597 in exponential form is:

597 = 3¹ × 199¹

Step-2: Prime Factorization of 609

Prime factors of 609 are 3, 7, 29. Prime factorization of 609 in exponential form is:

609 = 3¹ × 7¹ × 29¹

Step-3: Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1, 3, 199

Step-4: Factors of 609

List of positive integer factors of 609 that divides 597 without a remainder.

1, 3, 7, 21, 29, 87, 203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 597 and 609. The biggest common factor number is the GCF number.
So the greatest common factor 597 and 609 is 3.

Also check out the Least Common Multiple of 597 and 609