What is the Greatest Common Factor of 72396 and 72414?

Greatest common factor (GCF) of 72396 and 72414 is 18.

GCF(72396,72414) = 18

We will now calculate the prime factors of 72396 and 72414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72396 and 72414.

How to find the GCF of 72396 and 72414?

We will first find the prime factorization of 72396 and 72414. After we will calculate the factors of 72396 and 72414 and find the biggest common factor number .

Step-1: Prime Factorization of 72396

Prime factors of 72396 are 2, 3, 2011. Prime factorization of 72396 in exponential form is:

72396 = 2² × 3² × 2011¹

Step-2: Prime Factorization of 72414

Prime factors of 72414 are 2, 3, 149. Prime factorization of 72414 in exponential form is:

72414 = 2¹ × 3⁵ × 149¹

Step-3: Factors of 72396

List of positive integer factors of 72396 that divides 72396 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2011, 4022, 6033, 8044, 12066, 18099, 24132, 36198

Step-4: Factors of 72414

List of positive integer factors of 72414 that divides 72396 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 149, 162, 243, 298, 447, 486, 894, 1341, 2682, 4023, 8046, 12069, 24138, 36207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72396 and 72414. The biggest common factor number is the GCF number.
So the greatest common factor 72396 and 72414 is 18.

Also check out the Least Common Multiple of 72396 and 72414