What is the Greatest Common Factor of 76581 and 76590?

Greatest common factor (GCF) of 76581 and 76590 is 9.

GCF(76581,76590) = 9

We will now calculate the prime factors of 76581 and 76590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76581 and 76590.

How to find the GCF of 76581 and 76590?

We will first find the prime factorization of 76581 and 76590. After we will calculate the factors of 76581 and 76590 and find the biggest common factor number .

Step-1: Prime Factorization of 76581

Prime factors of 76581 are 3, 67, 127. Prime factorization of 76581 in exponential form is:

76581 = 3² × 67¹ × 127¹

Step-2: 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-3: Factors of 76581

List of positive integer factors of 76581 that divides 76581 without a remainder.

1, 3, 9, 67, 127, 201, 381, 603, 1143, 8509, 25527

Step-4: Factors of 76590

List of positive integer factors of 76590 that divides 76581 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76581 and 76590. The biggest common factor number is the GCF number.
So the greatest common factor 76581 and 76590 is 9.

Also check out the Least Common Multiple of 76581 and 76590