What is the Greatest Common Factor of 30200 and 30216?

Greatest common factor (GCF) of 30200 and 30216 is 8.

GCF(30200,30216) = 8

We will now calculate the prime factors of 30200 and 30216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30200 and 30216.

How to find the GCF of 30200 and 30216?

We will first find the prime factorization of 30200 and 30216. After we will calculate the factors of 30200 and 30216 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30216

Prime factors of 30216 are 2, 3, 1259. Prime factorization of 30216 in exponential form is:

30216 = 2³ × 3¹ × 1259¹

Step-3: Factors of 30200

List of positive integer factors of 30200 that divides 30200 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

Step-4: Factors of 30216

List of positive integer factors of 30216 that divides 30200 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1259, 2518, 3777, 5036, 7554, 10072, 15108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30200 and 30216. The biggest common factor number is the GCF number.
So the greatest common factor 30200 and 30216 is 8.

Also check out the Least Common Multiple of 30200 and 30216