What is the Greatest Common Factor of 30330 and 30350?

Greatest common factor (GCF) of 30330 and 30350 is 10.

GCF(30330,30350) = 10

We will now calculate the prime factors of 30330 and 30350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30330 and 30350.

How to find the GCF of 30330 and 30350?

We will first find the prime factorization of 30330 and 30350. After we will calculate the factors of 30330 and 30350 and find the biggest common factor number .

Step-1: Prime Factorization of 30330

Prime factors of 30330 are 2, 3, 5, 337. Prime factorization of 30330 in exponential form is:

30330 = 2¹ × 3² × 5¹ × 337¹

Step-2: Prime Factorization of 30350

Prime factors of 30350 are 2, 5, 607. Prime factorization of 30350 in exponential form is:

30350 = 2¹ × 5² × 607¹

Step-3: Factors of 30330

List of positive integer factors of 30330 that divides 30330 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 337, 674, 1011, 1685, 2022, 3033, 3370, 5055, 6066, 10110, 15165

Step-4: Factors of 30350

List of positive integer factors of 30350 that divides 30330 without a remainder.

1, 2, 5, 10, 25, 50, 607, 1214, 3035, 6070, 15175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30330 and 30350. The biggest common factor number is the GCF number.
So the greatest common factor 30330 and 30350 is 10.

Also check out the Least Common Multiple of 30330 and 30350