What is the Greatest Common Factor of 60594 and 60609?

Greatest common factor (GCF) of 60594 and 60609 is 3.

GCF(60594,60609) = 3

We will now calculate the prime factors of 60594 and 60609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60594 and 60609.

How to find the GCF of 60594 and 60609?

We will first find the prime factorization of 60594 and 60609. After we will calculate the factors of 60594 and 60609 and find the biggest common factor number .

Step-1: Prime Factorization of 60594

Prime factors of 60594 are 2, 3, 10099. Prime factorization of 60594 in exponential form is:

60594 = 2¹ × 3¹ × 10099¹

Step-2: Prime Factorization of 60609

Prime factors of 60609 are 3, 89, 227. Prime factorization of 60609 in exponential form is:

60609 = 3¹ × 89¹ × 227¹

Step-3: Factors of 60594

List of positive integer factors of 60594 that divides 60594 without a remainder.

1, 2, 3, 6, 10099, 20198, 30297

Step-4: Factors of 60609

List of positive integer factors of 60609 that divides 60594 without a remainder.

1, 3, 89, 227, 267, 681, 20203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60594 and 60609. The biggest common factor number is the GCF number.
So the greatest common factor 60594 and 60609 is 3.

Also check out the Least Common Multiple of 60594 and 60609