What is the Greatest Common Factor of 4515 and 4530?

Greatest common factor (GCF) of 4515 and 4530 is 15.

GCF(4515,4530) = 15

We will now calculate the prime factors of 4515 and 4530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4515 and 4530.

How to find the GCF of 4515 and 4530?

We will first find the prime factorization of 4515 and 4530. After we will calculate the factors of 4515 and 4530 and find the biggest common factor number .

Step-1: Prime Factorization of 4515

Prime factors of 4515 are 3, 5, 7, 43. Prime factorization of 4515 in exponential form is:

4515 = 3¹ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 4530

Prime factors of 4530 are 2, 3, 5, 151. Prime factorization of 4530 in exponential form is:

4530 = 2¹ × 3¹ × 5¹ × 151¹

Step-3: Factors of 4515

List of positive integer factors of 4515 that divides 4515 without a remainder.

1, 3, 5, 7, 15, 21, 35, 43, 105, 129, 215, 301, 645, 903, 1505

Step-4: Factors of 4530

List of positive integer factors of 4530 that divides 4515 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4515 and 4530. The biggest common factor number is the GCF number.
So the greatest common factor 4515 and 4530 is 15.

Also check out the Least Common Multiple of 4515 and 4530