What is the Greatest Common Factor of 30408 and 30412?

Greatest common factor (GCF) of 30408 and 30412 is 4.

GCF(30408,30412) = 4

We will now calculate the prime factors of 30408 and 30412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30408 and 30412.

How to find the GCF of 30408 and 30412?

We will first find the prime factorization of 30408 and 30412. After we will calculate the factors of 30408 and 30412 and find the biggest common factor number .

Step-1: Prime Factorization of 30408

Prime factors of 30408 are 2, 3, 7, 181. Prime factorization of 30408 in exponential form is:

30408 = 2³ × 3¹ × 7¹ × 181¹

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 30408

List of positive integer factors of 30408 that divides 30408 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 181, 362, 543, 724, 1086, 1267, 1448, 2172, 2534, 3801, 4344, 5068, 7602, 10136, 15204

Step-4: Factors of 30412

List of positive integer factors of 30412 that divides 30408 without a remainder.

1, 2, 4, 7603, 15206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30408 and 30412. The biggest common factor number is the GCF number.
So the greatest common factor 30408 and 30412 is 4.

Also check out the Least Common Multiple of 30408 and 30412