What is the Greatest Common Factor of 60549 and 60555?

Greatest common factor (GCF) of 60549 and 60555 is 3.

GCF(60549,60555) = 3

We will now calculate the prime factors of 60549 and 60555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60549 and 60555.

How to find the GCF of 60549 and 60555?

We will first find the prime factorization of 60549 and 60555. After we will calculate the factors of 60549 and 60555 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 60555

Prime factors of 60555 are 3, 5, 11, 367. Prime factorization of 60555 in exponential form is:

60555 = 3¹ × 5¹ × 11¹ × 367¹

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 60555

List of positive integer factors of 60555 that divides 60549 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 367, 1101, 1835, 4037, 5505, 12111, 20185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60549 and 60555. The biggest common factor number is the GCF number.
So the greatest common factor 60549 and 60555 is 3.

Also check out the Least Common Multiple of 60549 and 60555