What is the Greatest Common Factor of 60204 and 60219?

Greatest common factor (GCF) of 60204 and 60219 is 3.

GCF(60204,60219) = 3

We will now calculate the prime factors of 60204 and 60219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60204 and 60219.

How to find the GCF of 60204 and 60219?

We will first find the prime factorization of 60204 and 60219. After we will calculate the factors of 60204 and 60219 and find the biggest common factor number .

Step-1: Prime Factorization of 60204

Prime factors of 60204 are 2, 3, 29, 173. Prime factorization of 60204 in exponential form is:

60204 = 2² × 3¹ × 29¹ × 173¹

Step-2: Prime Factorization of 60219

Prime factors of 60219 are 3, 6691. Prime factorization of 60219 in exponential form is:

60219 = 3² × 6691¹

Step-3: Factors of 60204

List of positive integer factors of 60204 that divides 60204 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 173, 174, 346, 348, 519, 692, 1038, 2076, 5017, 10034, 15051, 20068, 30102

Step-4: Factors of 60219

List of positive integer factors of 60219 that divides 60204 without a remainder.

1, 3, 9, 6691, 20073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60204 and 60219. The biggest common factor number is the GCF number.
So the greatest common factor 60204 and 60219 is 3.

Also check out the Least Common Multiple of 60204 and 60219