What is the Greatest Common Factor of 30230 and 30250?

Greatest common factor (GCF) of 30230 and 30250 is 10.

GCF(30230,30250) = 10

We will now calculate the prime factors of 30230 and 30250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30230 and 30250.

How to find the GCF of 30230 and 30250?

We will first find the prime factorization of 30230 and 30250. After we will calculate the factors of 30230 and 30250 and find the biggest common factor number .

Step-1: Prime Factorization of 30230

Prime factors of 30230 are 2, 5, 3023. Prime factorization of 30230 in exponential form is:

30230 = 2¹ × 5¹ × 3023¹

Step-2: Prime Factorization of 30250

Prime factors of 30250 are 2, 5, 11. Prime factorization of 30250 in exponential form is:

30250 = 2¹ × 5³ × 11²

Step-3: Factors of 30230

List of positive integer factors of 30230 that divides 30230 without a remainder.

1, 2, 5, 10, 3023, 6046, 15115

Step-4: Factors of 30250

List of positive integer factors of 30250 that divides 30230 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 125, 242, 250, 275, 550, 605, 1210, 1375, 2750, 3025, 6050, 15125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30230 and 30250. The biggest common factor number is the GCF number.
So the greatest common factor 30230 and 30250 is 10.

Also check out the Least Common Multiple of 30230 and 30250