What is the Greatest Common Factor of 80982 and 81000?

Greatest common factor (GCF) of 80982 and 81000 is 18.

GCF(80982,81000) = 18

We will now calculate the prime factors of 80982 and 81000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80982 and 81000.

How to find the GCF of 80982 and 81000?

We will first find the prime factorization of 80982 and 81000. After we will calculate the factors of 80982 and 81000 and find the biggest common factor number .

Step-1: Prime Factorization of 80982

Prime factors of 80982 are 2, 3, 11, 409. Prime factorization of 80982 in exponential form is:

80982 = 2¹ × 3² × 11¹ × 409¹

Step-2: Prime Factorization of 81000

Prime factors of 81000 are 2, 3, 5. Prime factorization of 81000 in exponential form is:

81000 = 2³ × 3⁴ × 5³

Step-3: Factors of 80982

List of positive integer factors of 80982 that divides 80982 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 409, 818, 1227, 2454, 3681, 4499, 7362, 8998, 13497, 26994, 40491

Step-4: Factors of 81000

List of positive integer factors of 81000 that divides 80982 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 125, 135, 150, 162, 180, 200, 216, 225, 250, 270, 300, 324, 360, 375, 405, 450, 500, 540, 600, 648, 675, 750, 810, 900, 1000, 1080, 1125, 1350, 1500, 1620, 1800, 2025, 2250, 2700, 3000, 3240, 3375, 4050, 4500, 5400, 6750, 8100, 9000, 10125, 13500, 16200, 20250, 27000, 40500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80982 and 81000. The biggest common factor number is the GCF number.
So the greatest common factor 80982 and 81000 is 18.

Also check out the Least Common Multiple of 80982 and 81000