What is the Greatest Common Factor of 72396 and 72413?

Greatest common factor (GCF) of 72396 and 72413 is 1.

GCF(72396,72413) = 1

We will now calculate the prime factors of 72396 and 72413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72396 and 72413.

How to find the GCF of 72396 and 72413?

We will first find the prime factorization of 72396 and 72413. After we will calculate the factors of 72396 and 72413 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 72413

Prime factors of 72413 are 11, 29, 227. Prime factorization of 72413 in exponential form is:

72413 = 11¹ × 29¹ × 227¹

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 72413

List of positive integer factors of 72413 that divides 72396 without a remainder.

1, 11, 29, 227, 319, 2497, 6583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72396 and 72413. The biggest common factor number is the GCF number.
So the greatest common factor 72396 and 72413 is 1.

Also check out the Least Common Multiple of 72396 and 72413