What is the Greatest Common Factor of 72412 and 72430?

Greatest common factor (GCF) of 72412 and 72430 is 2.

GCF(72412,72430) = 2

We will now calculate the prime factors of 72412 and 72430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72412 and 72430.

How to find the GCF of 72412 and 72430?

We will first find the prime factorization of 72412 and 72430. After we will calculate the factors of 72412 and 72430 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72430

Prime factors of 72430 are 2, 5, 7243. Prime factorization of 72430 in exponential form is:

72430 = 2¹ × 5¹ × 7243¹

Step-3: Factors of 72412

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

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

Step-4: Factors of 72430

List of positive integer factors of 72430 that divides 72412 without a remainder.

1, 2, 5, 10, 7243, 14486, 36215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72412 and 72430. The biggest common factor number is the GCF number.
So the greatest common factor 72412 and 72430 is 2.

Also check out the Least Common Multiple of 72412 and 72430