What is the Greatest Common Factor of 30200 and 30211?

Greatest common factor (GCF) of 30200 and 30211 is 1.

GCF(30200,30211) = 1

We will now calculate the prime factors of 30200 and 30211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30200 and 30211.

How to find the GCF of 30200 and 30211?

We will first find the prime factorization of 30200 and 30211. After we will calculate the factors of 30200 and 30211 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 30211

Prime factors of 30211 are 30211. Prime factorization of 30211 in exponential form is:

30211 = 30211¹

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 30211

List of positive integer factors of 30211 that divides 30200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30200 and 30211. The biggest common factor number is the GCF number.
So the greatest common factor 30200 and 30211 is 1.

Also check out the Least Common Multiple of 30200 and 30211