What is the Greatest Common Factor of 76545 and 76563?

Greatest common factor (GCF) of 76545 and 76563 is 9.

GCF(76545,76563) = 9

We will now calculate the prime factors of 76545 and 76563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76545 and 76563.

How to find the GCF of 76545 and 76563?

We will first find the prime factorization of 76545 and 76563. After we will calculate the factors of 76545 and 76563 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 76563

Prime factors of 76563 are 3, 47, 181. Prime factorization of 76563 in exponential form is:

76563 = 3² × 47¹ × 181¹

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 76563

List of positive integer factors of 76563 that divides 76545 without a remainder.

1, 3, 9, 47, 141, 181, 423, 543, 1629, 8507, 25521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76545 and 76563. The biggest common factor number is the GCF number.
So the greatest common factor 76545 and 76563 is 9.

Also check out the Least Common Multiple of 76545 and 76563