What is the Greatest Common Factor of 60204 and 60216?

Greatest common factor (GCF) of 60204 and 60216 is 12.

GCF(60204,60216) = 12

We will now calculate the prime factors of 60204 and 60216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60204 and 60216.

How to find the GCF of 60204 and 60216?

We will first find the prime factorization of 60204 and 60216. After we will calculate the factors of 60204 and 60216 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 60216

Prime factors of 60216 are 2, 3, 13, 193. Prime factorization of 60216 in exponential form is:

60216 = 2³ × 3¹ × 13¹ × 193¹

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 60216

List of positive integer factors of 60216 that divides 60204 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 193, 312, 386, 579, 772, 1158, 1544, 2316, 2509, 4632, 5018, 7527, 10036, 15054, 20072, 30108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60204 and 60216. The biggest common factor number is the GCF number.
So the greatest common factor 60204 and 60216 is 12.

Also check out the Least Common Multiple of 60204 and 60216