What is the Greatest Common Factor of 30200 and 30204?

Greatest common factor (GCF) of 30200 and 30204 is 4.

GCF(30200,30204) = 4

We will now calculate the prime factors of 30200 and 30204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30200 and 30204.

How to find the GCF of 30200 and 30204?

We will first find the prime factorization of 30200 and 30204. After we will calculate the factors of 30200 and 30204 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 30204

Prime factors of 30204 are 2, 3, 839. Prime factorization of 30204 in exponential form is:

30204 = 2² × 3² × 839¹

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 30204

List of positive integer factors of 30204 that divides 30200 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 839, 1678, 2517, 3356, 5034, 7551, 10068, 15102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30200 and 30204. The biggest common factor number is the GCF number.
So the greatest common factor 30200 and 30204 is 4.

Also check out the Least Common Multiple of 30200 and 30204