What is the Greatest Common Factor of 91785 and 91800?

Greatest common factor (GCF) of 91785 and 91800 is 15.

GCF(91785,91800) = 15

We will now calculate the prime factors of 91785 and 91800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91785 and 91800.

How to find the GCF of 91785 and 91800?

We will first find the prime factorization of 91785 and 91800. After we will calculate the factors of 91785 and 91800 and find the biggest common factor number .

Step-1: Prime Factorization of 91785

Prime factors of 91785 are 3, 5, 29, 211. Prime factorization of 91785 in exponential form is:

91785 = 3¹ × 5¹ × 29¹ × 211¹

Step-2: 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-3: Factors of 91785

List of positive integer factors of 91785 that divides 91785 without a remainder.

1, 3, 5, 15, 29, 87, 145, 211, 435, 633, 1055, 3165, 6119, 18357, 30595

Step-4: Factors of 91800

List of positive integer factors of 91800 that divides 91785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91785 and 91800. The biggest common factor number is the GCF number.
So the greatest common factor 91785 and 91800 is 15.

Also check out the Least Common Multiple of 91785 and 91800