What is the Greatest Common Factor of 76545 and 76564?

Greatest common factor (GCF) of 76545 and 76564 is 1.

GCF(76545,76564) = 1

We will now calculate the prime factors of 76545 and 76564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76545 and 76564.

How to find the GCF of 76545 and 76564?

We will first find the prime factorization of 76545 and 76564. After we will calculate the factors of 76545 and 76564 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 76564

Prime factors of 76564 are 2, 19141. Prime factorization of 76564 in exponential form is:

76564 = 2² × 19141¹

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 76564

List of positive integer factors of 76564 that divides 76545 without a remainder.

1, 2, 4, 19141, 38282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76545 and 76564. The biggest common factor number is the GCF number.
So the greatest common factor 76545 and 76564 is 1.

Also check out the Least Common Multiple of 76545 and 76564