What is the Greatest Common Factor of 76587 and 76599?

Greatest common factor (GCF) of 76587 and 76599 is 3.

GCF(76587,76599) = 3

We will now calculate the prime factors of 76587 and 76599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76587 and 76599.

How to find the GCF of 76587 and 76599?

We will first find the prime factorization of 76587 and 76599. After we will calculate the factors of 76587 and 76599 and find the biggest common factor number .

Step-1: Prime Factorization of 76587

Prime factors of 76587 are 3, 7, 521. Prime factorization of 76587 in exponential form is:

76587 = 3¹ × 7² × 521¹

Step-2: Prime Factorization of 76599

Prime factors of 76599 are 3, 2837. Prime factorization of 76599 in exponential form is:

76599 = 3³ × 2837¹

Step-3: Factors of 76587

List of positive integer factors of 76587 that divides 76587 without a remainder.

1, 3, 7, 21, 49, 147, 521, 1563, 3647, 10941, 25529

Step-4: Factors of 76599

List of positive integer factors of 76599 that divides 76587 without a remainder.

1, 3, 9, 27, 2837, 8511, 25533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76587 and 76599. The biggest common factor number is the GCF number.
So the greatest common factor 76587 and 76599 is 3.

Also check out the Least Common Multiple of 76587 and 76599