What is the Greatest Common Factor of 30225 and 30237?

Greatest common factor (GCF) of 30225 and 30237 is 3.

GCF(30225,30237) = 3

We will now calculate the prime factors of 30225 and 30237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30225 and 30237.

How to find the GCF of 30225 and 30237?

We will first find the prime factorization of 30225 and 30237. After we will calculate the factors of 30225 and 30237 and find the biggest common factor number .

Step-1: Prime Factorization of 30225

Prime factors of 30225 are 3, 5, 13, 31. Prime factorization of 30225 in exponential form is:

30225 = 3¹ × 5² × 13¹ × 31¹

Step-2: Prime Factorization of 30237

Prime factors of 30237 are 3, 10079. Prime factorization of 30237 in exponential form is:

30237 = 3¹ × 10079¹

Step-3: Factors of 30225

List of positive integer factors of 30225 that divides 30225 without a remainder.

1, 3, 5, 13, 15, 25, 31, 39, 65, 75, 93, 155, 195, 325, 403, 465, 775, 975, 1209, 2015, 2325, 6045, 10075

Step-4: Factors of 30237

List of positive integer factors of 30237 that divides 30225 without a remainder.

1, 3, 10079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30225 and 30237. The biggest common factor number is the GCF number.
So the greatest common factor 30225 and 30237 is 3.

Also check out the Least Common Multiple of 30225 and 30237