What is the Greatest Common Factor of 30184 and 30200?

Greatest common factor (GCF) of 30184 and 30200 is 8.

GCF(30184,30200) = 8

We will now calculate the prime factors of 30184 and 30200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30184 and 30200.

How to find the GCF of 30184 and 30200?

We will first find the prime factorization of 30184 and 30200. After we will calculate the factors of 30184 and 30200 and find the biggest common factor number .

Step-1: Prime Factorization of 30184

Prime factors of 30184 are 2, 7, 11. Prime factorization of 30184 in exponential form is:

30184 = 2³ × 7³ × 11¹

Step-2: Prime Factorization of 30200

Prime factors of 30200 are 2, 5, 151. Prime factorization of 30200 in exponential form is:

30200 = 2³ × 5² × 151¹

Step-3: Factors of 30184

List of positive integer factors of 30184 that divides 30184 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 343, 392, 539, 616, 686, 1078, 1372, 2156, 2744, 3773, 4312, 7546, 15092

Step-4: Factors of 30200

List of positive integer factors of 30200 that divides 30184 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 151, 200, 302, 604, 755, 1208, 1510, 3020, 3775, 6040, 7550, 15100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30184 and 30200. The biggest common factor number is the GCF number.
So the greatest common factor 30184 and 30200 is 8.

Also check out the Least Common Multiple of 30184 and 30200