What is the Greatest Common Factor of 4215 and 4230?

Greatest common factor (GCF) of 4215 and 4230 is 15.

GCF(4215,4230) = 15

We will now calculate the prime factors of 4215 and 4230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4215 and 4230.

How to find the GCF of 4215 and 4230?

We will first find the prime factorization of 4215 and 4230. After we will calculate the factors of 4215 and 4230 and find the biggest common factor number .

Step-1: Prime Factorization of 4215

Prime factors of 4215 are 3, 5, 281. Prime factorization of 4215 in exponential form is:

4215 = 3¹ × 5¹ × 281¹

Step-2: 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-3: Factors of 4215

List of positive integer factors of 4215 that divides 4215 without a remainder.

1, 3, 5, 15, 281, 843, 1405

Step-4: Factors of 4230

List of positive integer factors of 4230 that divides 4215 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4215 and 4230. The biggest common factor number is the GCF number.
So the greatest common factor 4215 and 4230 is 15.

Also check out the Least Common Multiple of 4215 and 4230