What is the Greatest Common Factor of 16230 and 16235?

Greatest common factor (GCF) of 16230 and 16235 is 5.

GCF(16230,16235) = 5

We will now calculate the prime factors of 16230 and 16235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16230 and 16235.

How to find the GCF of 16230 and 16235?

We will first find the prime factorization of 16230 and 16235. After we will calculate the factors of 16230 and 16235 and find the biggest common factor number .

Step-1: Prime Factorization of 16230

Prime factors of 16230 are 2, 3, 5, 541. Prime factorization of 16230 in exponential form is:

16230 = 2¹ × 3¹ × 5¹ × 541¹

Step-2: Prime Factorization of 16235

Prime factors of 16235 are 5, 17, 191. Prime factorization of 16235 in exponential form is:

16235 = 5¹ × 17¹ × 191¹

Step-3: Factors of 16230

List of positive integer factors of 16230 that divides 16230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 541, 1082, 1623, 2705, 3246, 5410, 8115

Step-4: Factors of 16235

List of positive integer factors of 16235 that divides 16230 without a remainder.

1, 5, 17, 85, 191, 955, 3247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16230 and 16235. The biggest common factor number is the GCF number.
So the greatest common factor 16230 and 16235 is 5.

Also check out the Least Common Multiple of 16230 and 16235