What is the Greatest Common Factor of 76515 and 76530?

Greatest common factor (GCF) of 76515 and 76530 is 15.

GCF(76515,76530) = 15

We will now calculate the prime factors of 76515 and 76530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76515 and 76530.

How to find the GCF of 76515 and 76530?

We will first find the prime factorization of 76515 and 76530. After we will calculate the factors of 76515 and 76530 and find the biggest common factor number .

Step-1: Prime Factorization of 76515

Prime factors of 76515 are 3, 5, 5101. Prime factorization of 76515 in exponential form is:

76515 = 3¹ × 5¹ × 5101¹

Step-2: Prime Factorization of 76530

Prime factors of 76530 are 2, 3, 5, 2551. Prime factorization of 76530 in exponential form is:

76530 = 2¹ × 3¹ × 5¹ × 2551¹

Step-3: Factors of 76515

List of positive integer factors of 76515 that divides 76515 without a remainder.

1, 3, 5, 15, 5101, 15303, 25505

Step-4: Factors of 76530

List of positive integer factors of 76530 that divides 76515 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2551, 5102, 7653, 12755, 15306, 25510, 38265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76515 and 76530. The biggest common factor number is the GCF number.
So the greatest common factor 76515 and 76530 is 15.

Also check out the Least Common Multiple of 76515 and 76530