What is the Greatest Common Factor of 30406 and 30412?

Greatest common factor (GCF) of 30406 and 30412 is 2.

GCF(30406,30412) = 2

We will now calculate the prime factors of 30406 and 30412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30406 and 30412.

How to find the GCF of 30406 and 30412?

We will first find the prime factorization of 30406 and 30412. After we will calculate the factors of 30406 and 30412 and find the biggest common factor number .

Step-1: Prime Factorization of 30406

Prime factors of 30406 are 2, 23, 661. Prime factorization of 30406 in exponential form is:

30406 = 2¹ × 23¹ × 661¹

Step-2: Prime Factorization of 30412

Prime factors of 30412 are 2, 7603. Prime factorization of 30412 in exponential form is:

30412 = 2² × 7603¹

Step-3: Factors of 30406

List of positive integer factors of 30406 that divides 30406 without a remainder.

1, 2, 23, 46, 661, 1322, 15203

Step-4: Factors of 30412

List of positive integer factors of 30412 that divides 30406 without a remainder.

1, 2, 4, 7603, 15206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30406 and 30412. The biggest common factor number is the GCF number.
So the greatest common factor 30406 and 30412 is 2.

Also check out the Least Common Multiple of 30406 and 30412