What is the Greatest Common Factor of 30230 and 30236?

Greatest common factor (GCF) of 30230 and 30236 is 2.

GCF(30230,30236) = 2

We will now calculate the prime factors of 30230 and 30236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30230 and 30236.

How to find the GCF of 30230 and 30236?

We will first find the prime factorization of 30230 and 30236. After we will calculate the factors of 30230 and 30236 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 30236

Prime factors of 30236 are 2, 7559. Prime factorization of 30236 in exponential form is:

30236 = 2² × 7559¹

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 30236

List of positive integer factors of 30236 that divides 30230 without a remainder.

1, 2, 4, 7559, 15118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30230 and 30236. The biggest common factor number is the GCF number.
So the greatest common factor 30230 and 30236 is 2.

Also check out the Least Common Multiple of 30230 and 30236