What is the Greatest Common Factor of 72396 and 72412?

Greatest common factor (GCF) of 72396 and 72412 is 4.

GCF(72396,72412) = 4

We will now calculate the prime factors of 72396 and 72412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72396 and 72412.

How to find the GCF of 72396 and 72412?

We will first find the prime factorization of 72396 and 72412. After we will calculate the factors of 72396 and 72412 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 72412

Prime factors of 72412 are 2, 43, 421. Prime factorization of 72412 in exponential form is:

72412 = 2² × 43¹ × 421¹

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 72412

List of positive integer factors of 72412 that divides 72396 without a remainder.

1, 2, 4, 43, 86, 172, 421, 842, 1684, 18103, 36206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72396 and 72412. The biggest common factor number is the GCF number.
So the greatest common factor 72396 and 72412 is 4.

Also check out the Least Common Multiple of 72396 and 72412