What is the Greatest Common Factor of 91800 and 91809?

Greatest common factor (GCF) of 91800 and 91809 is 9.

GCF(91800,91809) = 9

We will now calculate the prime factors of 91800 and 91809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91800 and 91809.

How to find the GCF of 91800 and 91809?

We will first find the prime factorization of 91800 and 91809. After we will calculate the factors of 91800 and 91809 and find the biggest common factor number .

Step-1: Prime Factorization of 91800

Prime factors of 91800 are 2, 3, 5, 17. Prime factorization of 91800 in exponential form is:

91800 = 2³ × 3³ × 5² × 17¹

Step-2: Prime Factorization of 91809

Prime factors of 91809 are 3, 101. Prime factorization of 91809 in exponential form is:

91809 = 3² × 101²

Step-3: Factors of 91800

List of positive integer factors of 91800 that divides 91800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 25, 27, 30, 34, 36, 40, 45, 50, 51, 54, 60, 68, 72, 75, 85, 90, 100, 102, 108, 120, 135, 136, 150, 153, 170, 180, 200, 204, 216, 225, 255, 270, 300, 306, 340, 360, 408, 425, 450, 459, 510, 540, 600, 612, 675, 680, 765, 850, 900, 918, 1020, 1080, 1224, 1275, 1350, 1530, 1700, 1800, 1836, 2040, 2295, 2550, 2700, 3060, 3400, 3672, 3825, 4590, 5100, 5400, 6120, 7650, 9180, 10200, 11475, 15300, 18360, 22950, 30600, 45900

Step-4: Factors of 91809

List of positive integer factors of 91809 that divides 91800 without a remainder.

1, 3, 9, 101, 303, 909, 10201, 30603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91800 and 91809. The biggest common factor number is the GCF number.
So the greatest common factor 91800 and 91809 is 9.

Also check out the Least Common Multiple of 91800 and 91809