What is the Greatest Common Factor of 72216 and 72231?

Greatest common factor (GCF) of 72216 and 72231 is 3.

GCF(72216,72231) = 3

We will now calculate the prime factors of 72216 and 72231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72216 and 72231.

How to find the GCF of 72216 and 72231?

We will first find the prime factorization of 72216 and 72231. After we will calculate the factors of 72216 and 72231 and find the biggest common factor number .

Step-1: Prime Factorization of 72216

Prime factors of 72216 are 2, 3, 17, 59. Prime factorization of 72216 in exponential form is:

72216 = 2³ × 3² × 17¹ × 59¹

Step-2: Prime Factorization of 72231

Prime factors of 72231 are 3, 24077. Prime factorization of 72231 in exponential form is:

72231 = 3¹ × 24077¹

Step-3: Factors of 72216

List of positive integer factors of 72216 that divides 72216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 59, 68, 72, 102, 118, 136, 153, 177, 204, 236, 306, 354, 408, 472, 531, 612, 708, 1003, 1062, 1224, 1416, 2006, 2124, 3009, 4012, 4248, 6018, 8024, 9027, 12036, 18054, 24072, 36108

Step-4: Factors of 72231

List of positive integer factors of 72231 that divides 72216 without a remainder.

1, 3, 24077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72216 and 72231. The biggest common factor number is the GCF number.
So the greatest common factor 72216 and 72231 is 3.

Also check out the Least Common Multiple of 72216 and 72231