What is the Greatest Common Factor of 13515 and 13530?

Greatest common factor (GCF) of 13515 and 13530 is 15.

GCF(13515,13530) = 15

We will now calculate the prime factors of 13515 and 13530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13515 and 13530.

How to find the GCF of 13515 and 13530?

We will first find the prime factorization of 13515 and 13530. After we will calculate the factors of 13515 and 13530 and find the biggest common factor number .

Step-1: Prime Factorization of 13515

Prime factors of 13515 are 3, 5, 17, 53. Prime factorization of 13515 in exponential form is:

13515 = 3¹ × 5¹ × 17¹ × 53¹

Step-2: Prime Factorization of 13530

Prime factors of 13530 are 2, 3, 5, 11, 41. Prime factorization of 13530 in exponential form is:

13530 = 2¹ × 3¹ × 5¹ × 11¹ × 41¹

Step-3: Factors of 13515

List of positive integer factors of 13515 that divides 13515 without a remainder.

1, 3, 5, 15, 17, 51, 53, 85, 159, 255, 265, 795, 901, 2703, 4505

Step-4: Factors of 13530

List of positive integer factors of 13530 that divides 13515 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 41, 55, 66, 82, 110, 123, 165, 205, 246, 330, 410, 451, 615, 902, 1230, 1353, 2255, 2706, 4510, 6765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13515 and 13530. The biggest common factor number is the GCF number.
So the greatest common factor 13515 and 13530 is 15.

Also check out the Least Common Multiple of 13515 and 13530