What is the Greatest Common Factor of 36216 and 36234?

Greatest common factor (GCF) of 36216 and 36234 is 18.

GCF(36216,36234) = 18

We will now calculate the prime factors of 36216 and 36234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36216 and 36234.

How to find the GCF of 36216 and 36234?

We will first find the prime factorization of 36216 and 36234. After we will calculate the factors of 36216 and 36234 and find the biggest common factor number .

Step-1: Prime Factorization of 36216

Prime factors of 36216 are 2, 3, 503. Prime factorization of 36216 in exponential form is:

36216 = 2³ × 3² × 503¹

Step-2: Prime Factorization of 36234

Prime factors of 36234 are 2, 3, 11, 61. Prime factorization of 36234 in exponential form is:

36234 = 2¹ × 3³ × 11¹ × 61¹

Step-3: Factors of 36216

List of positive integer factors of 36216 that divides 36216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 503, 1006, 1509, 2012, 3018, 4024, 4527, 6036, 9054, 12072, 18108

Step-4: Factors of 36234

List of positive integer factors of 36234 that divides 36216 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 61, 66, 99, 122, 183, 198, 297, 366, 549, 594, 671, 1098, 1342, 1647, 2013, 3294, 4026, 6039, 12078, 18117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36216 and 36234. The biggest common factor number is the GCF number.
So the greatest common factor 36216 and 36234 is 18.

Also check out the Least Common Multiple of 36216 and 36234