What is the Greatest Common Factor of 72398 and 72412?

Greatest common factor (GCF) of 72398 and 72412 is 2.

GCF(72398,72412) = 2

We will now calculate the prime factors of 72398 and 72412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72398 and 72412.

How to find the GCF of 72398 and 72412?

We will first find the prime factorization of 72398 and 72412. After we will calculate the factors of 72398 and 72412 and find the biggest common factor number .

Step-1: Prime Factorization of 72398

Prime factors of 72398 are 2, 53, 683. Prime factorization of 72398 in exponential form is:

72398 = 2¹ × 53¹ × 683¹

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 72398

List of positive integer factors of 72398 that divides 72398 without a remainder.

1, 2, 53, 106, 683, 1366, 36199

Step-4: Factors of 72412

List of positive integer factors of 72412 that divides 72398 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 72398 and 72412. The biggest common factor number is the GCF number.
So the greatest common factor 72398 and 72412 is 2.

Also check out the Least Common Multiple of 72398 and 72412