What is the Greatest Common Factor of 60549 and 60558?

Greatest common factor (GCF) of 60549 and 60558 is 3.

GCF(60549,60558) = 3

We will now calculate the prime factors of 60549 and 60558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60549 and 60558.

How to find the GCF of 60549 and 60558?

We will first find the prime factorization of 60549 and 60558. After we will calculate the factors of 60549 and 60558 and find the biggest common factor number .

Step-1: Prime Factorization of 60549

Prime factors of 60549 are 3, 20183. Prime factorization of 60549 in exponential form is:

60549 = 3¹ × 20183¹

Step-2: Prime Factorization of 60558

Prime factors of 60558 are 2, 3, 10093. Prime factorization of 60558 in exponential form is:

60558 = 2¹ × 3¹ × 10093¹

Step-3: Factors of 60549

List of positive integer factors of 60549 that divides 60549 without a remainder.

1, 3, 20183

Step-4: Factors of 60558

List of positive integer factors of 60558 that divides 60549 without a remainder.

1, 2, 3, 6, 10093, 20186, 30279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60549 and 60558. The biggest common factor number is the GCF number.
So the greatest common factor 60549 and 60558 is 3.

Also check out the Least Common Multiple of 60549 and 60558