What is the Greatest Common Factor of 4230 and 4245?

Greatest common factor (GCF) of 4230 and 4245 is 15.

GCF(4230,4245) = 15

We will now calculate the prime factors of 4230 and 4245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4230 and 4245.

How to find the GCF of 4230 and 4245?

We will first find the prime factorization of 4230 and 4245. After we will calculate the factors of 4230 and 4245 and find the biggest common factor number .

Step-1: Prime Factorization of 4230

Prime factors of 4230 are 2, 3, 5, 47. Prime factorization of 4230 in exponential form is:

4230 = 2¹ × 3² × 5¹ × 47¹

Step-2: Prime Factorization of 4245

Prime factors of 4245 are 3, 5, 283. Prime factorization of 4245 in exponential form is:

4245 = 3¹ × 5¹ × 283¹

Step-3: Factors of 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115

Step-4: Factors of 4245

List of positive integer factors of 4245 that divides 4230 without a remainder.

1, 3, 5, 15, 283, 849, 1415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4230 and 4245. The biggest common factor number is the GCF number.
So the greatest common factor 4230 and 4245 is 15.

Also check out the Least Common Multiple of 4230 and 4245