What is the Greatest Common Factor of 60582 and 60594?

Greatest common factor (GCF) of 60582 and 60594 is 6.

GCF(60582,60594) = 6

We will now calculate the prime factors of 60582 and 60594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60582 and 60594.

How to find the GCF of 60582 and 60594?

We will first find the prime factorization of 60582 and 60594. After we will calculate the factors of 60582 and 60594 and find the biggest common factor number .

Step-1: Prime Factorization of 60582

Prime factors of 60582 are 2, 3, 23, 439. Prime factorization of 60582 in exponential form is:

60582 = 2¹ × 3¹ × 23¹ × 439¹

Step-2: 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-3: Factors of 60582

List of positive integer factors of 60582 that divides 60582 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 439, 878, 1317, 2634, 10097, 20194, 30291

Step-4: Factors of 60594

List of positive integer factors of 60594 that divides 60582 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60582 and 60594. The biggest common factor number is the GCF number.
So the greatest common factor 60582 and 60594 is 6.

Also check out the Least Common Multiple of 60582 and 60594