What is the Greatest Common Factor of 76545 and 76565?

Greatest common factor (GCF) of 76545 and 76565 is 5.

GCF(76545,76565) = 5

We will now calculate the prime factors of 76545 and 76565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76545 and 76565.

How to find the GCF of 76545 and 76565?

We will first find the prime factorization of 76545 and 76565. After we will calculate the factors of 76545 and 76565 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76565

Prime factors of 76565 are 5, 15313. Prime factorization of 76565 in exponential form is:

76565 = 5¹ × 15313¹

Step-3: Factors of 76545

List of positive integer factors of 76545 that divides 76545 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

Step-4: Factors of 76565

List of positive integer factors of 76565 that divides 76545 without a remainder.

1, 5, 15313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76545 and 76565. The biggest common factor number is the GCF number.
So the greatest common factor 76545 and 76565 is 5.

Also check out the Least Common Multiple of 76545 and 76565