What is the Greatest Common Factor of 76530 and 76545?

Greatest common factor (GCF) of 76530 and 76545 is 15.

GCF(76530,76545) = 15

We will now calculate the prime factors of 76530 and 76545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76530 and 76545.

How to find the GCF of 76530 and 76545?

We will first find the prime factorization of 76530 and 76545. After we will calculate the factors of 76530 and 76545 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76545

Prime factors of 76545 are 3, 5, 7. Prime factorization of 76545 in exponential form is:

76545 = 3⁷ × 5¹ × 7¹

Step-3: Factors of 76530

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

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

Step-4: Factors of 76545

List of positive integer factors of 76545 that divides 76530 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 729, 945, 1215, 1701, 2187, 2835, 3645, 5103, 8505, 10935, 15309, 25515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76530 and 76545. The biggest common factor number is the GCF number.
So the greatest common factor 76530 and 76545 is 15.

Also check out the Least Common Multiple of 76530 and 76545