What is the Greatest Common Factor of 72396 and 72406?

Greatest common factor (GCF) of 72396 and 72406 is 2.

GCF(72396,72406) = 2

We will now calculate the prime factors of 72396 and 72406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72396 and 72406.

How to find the GCF of 72396 and 72406?

We will first find the prime factorization of 72396 and 72406. After we will calculate the factors of 72396 and 72406 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 72406

Prime factors of 72406 are 2, 41, 883. Prime factorization of 72406 in exponential form is:

72406 = 2¹ × 41¹ × 883¹

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 72406

List of positive integer factors of 72406 that divides 72396 without a remainder.

1, 2, 41, 82, 883, 1766, 36203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72396 and 72406. The biggest common factor number is the GCF number.
So the greatest common factor 72396 and 72406 is 2.

Also check out the Least Common Multiple of 72396 and 72406