What is the Greatest Common Factor of 30225 and 30235?

Greatest common factor (GCF) of 30225 and 30235 is 5.

GCF(30225,30235) = 5

We will now calculate the prime factors of 30225 and 30235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30225 and 30235.

How to find the GCF of 30225 and 30235?

We will first find the prime factorization of 30225 and 30235. After we will calculate the factors of 30225 and 30235 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 30235

Prime factors of 30235 are 5, 6047. Prime factorization of 30235 in exponential form is:

30235 = 5¹ × 6047¹

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 30235

List of positive integer factors of 30235 that divides 30225 without a remainder.

1, 5, 6047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30225 and 30235. The biggest common factor number is the GCF number.
So the greatest common factor 30225 and 30235 is 5.

Also check out the Least Common Multiple of 30225 and 30235