What is the Greatest Common Factor of 76590 and 76599?

Greatest common factor (GCF) of 76590 and 76599 is 9.

GCF(76590,76599) = 9

We will now calculate the prime factors of 76590 and 76599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76590 and 76599.

How to find the GCF of 76590 and 76599?

We will first find the prime factorization of 76590 and 76599. After we will calculate the factors of 76590 and 76599 and find the biggest common factor number .

Step-1: Prime Factorization of 76590

Prime factors of 76590 are 2, 3, 5, 23, 37. Prime factorization of 76590 in exponential form is:

76590 = 2¹ × 3² × 5¹ × 23¹ × 37¹

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 76590

List of positive integer factors of 76590 that divides 76590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 37, 45, 46, 69, 74, 90, 111, 115, 138, 185, 207, 222, 230, 333, 345, 370, 414, 555, 666, 690, 851, 1035, 1110, 1665, 1702, 2070, 2553, 3330, 4255, 5106, 7659, 8510, 12765, 15318, 25530, 38295

Step-4: Factors of 76599

List of positive integer factors of 76599 that divides 76590 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76590 and 76599. The biggest common factor number is the GCF number.
So the greatest common factor 76590 and 76599 is 9.

Also check out the Least Common Multiple of 76590 and 76599