What is the Greatest Common Factor of 60594 and 60612?

Greatest common factor (GCF) of 60594 and 60612 is 6.

GCF(60594,60612) = 6

We will now calculate the prime factors of 60594 and 60612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60594 and 60612.

How to find the GCF of 60594 and 60612?

We will first find the prime factorization of 60594 and 60612. After we will calculate the factors of 60594 and 60612 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 60612

Prime factors of 60612 are 2, 3, 5051. Prime factorization of 60612 in exponential form is:

60612 = 2² × 3¹ × 5051¹

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 60612

List of positive integer factors of 60612 that divides 60594 without a remainder.

1, 2, 3, 4, 6, 12, 5051, 10102, 15153, 20204, 30306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60594 and 60612. The biggest common factor number is the GCF number.
So the greatest common factor 60594 and 60612 is 6.

Also check out the Least Common Multiple of 60594 and 60612