What is the Greatest Common Factor of 67515 and 67530?

Greatest common factor (GCF) of 67515 and 67530 is 15.

GCF(67515,67530) = 15

We will now calculate the prime factors of 67515 and 67530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67515 and 67530.

How to find the GCF of 67515 and 67530?

We will first find the prime factorization of 67515 and 67530. After we will calculate the factors of 67515 and 67530 and find the biggest common factor number .

Step-1: Prime Factorization of 67515

Prime factors of 67515 are 3, 5, 7, 643. Prime factorization of 67515 in exponential form is:

67515 = 3¹ × 5¹ × 7¹ × 643¹

Step-2: Prime Factorization of 67530

Prime factors of 67530 are 2, 3, 5, 2251. Prime factorization of 67530 in exponential form is:

67530 = 2¹ × 3¹ × 5¹ × 2251¹

Step-3: Factors of 67515

List of positive integer factors of 67515 that divides 67515 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 643, 1929, 3215, 4501, 9645, 13503, 22505

Step-4: Factors of 67530

List of positive integer factors of 67530 that divides 67515 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2251, 4502, 6753, 11255, 13506, 22510, 33765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67515 and 67530. The biggest common factor number is the GCF number.
So the greatest common factor 67515 and 67530 is 15.

Also check out the Least Common Multiple of 67515 and 67530