What is the Greatest Common Factor of 60204 and 60222?

Greatest common factor (GCF) of 60204 and 60222 is 6.

GCF(60204,60222) = 6

We will now calculate the prime factors of 60204 and 60222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60204 and 60222.

How to find the GCF of 60204 and 60222?

We will first find the prime factorization of 60204 and 60222. After we will calculate the factors of 60204 and 60222 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 60222

Prime factors of 60222 are 2, 3, 10037. Prime factorization of 60222 in exponential form is:

60222 = 2¹ × 3¹ × 10037¹

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 60222

List of positive integer factors of 60222 that divides 60204 without a remainder.

1, 2, 3, 6, 10037, 20074, 30111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60204 and 60222. The biggest common factor number is the GCF number.
So the greatest common factor 60204 and 60222 is 6.

Also check out the Least Common Multiple of 60204 and 60222