What is the Greatest Common Factor of 30234 and 30252?

Greatest common factor (GCF) of 30234 and 30252 is 6.

GCF(30234,30252) = 6

We will now calculate the prime factors of 30234 and 30252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30234 and 30252.

How to find the GCF of 30234 and 30252?

We will first find the prime factorization of 30234 and 30252. After we will calculate the factors of 30234 and 30252 and find the biggest common factor number .

Step-1: Prime Factorization of 30234

Prime factors of 30234 are 2, 3, 5039. Prime factorization of 30234 in exponential form is:

30234 = 2¹ × 3¹ × 5039¹

Step-2: Prime Factorization of 30252

Prime factors of 30252 are 2, 3, 2521. Prime factorization of 30252 in exponential form is:

30252 = 2² × 3¹ × 2521¹

Step-3: Factors of 30234

List of positive integer factors of 30234 that divides 30234 without a remainder.

1, 2, 3, 6, 5039, 10078, 15117

Step-4: Factors of 30252

List of positive integer factors of 30252 that divides 30234 without a remainder.

1, 2, 3, 4, 6, 12, 2521, 5042, 7563, 10084, 15126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30234 and 30252. The biggest common factor number is the GCF number.
So the greatest common factor 30234 and 30252 is 6.

Also check out the Least Common Multiple of 30234 and 30252