What is the Greatest Common Factor of 91788 and 91800?

Greatest common factor (GCF) of 91788 and 91800 is 12.

GCF(91788,91800) = 12

We will now calculate the prime factors of 91788 and 91800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91788 and 91800.

How to find the GCF of 91788 and 91800?

We will first find the prime factorization of 91788 and 91800. After we will calculate the factors of 91788 and 91800 and find the biggest common factor number .

Step-1: Prime Factorization of 91788

Prime factors of 91788 are 2, 3, 7649. Prime factorization of 91788 in exponential form is:

91788 = 2² × 3¹ × 7649¹

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 91788

List of positive integer factors of 91788 that divides 91788 without a remainder.

1, 2, 3, 4, 6, 12, 7649, 15298, 22947, 30596, 45894

Step-4: Factors of 91800

List of positive integer factors of 91800 that divides 91788 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 91788 and 91800. The biggest common factor number is the GCF number.
So the greatest common factor 91788 and 91800 is 12.

Also check out the Least Common Multiple of 91788 and 91800