What is the Greatest Common Factor of 81000 and 81006?

Greatest common factor (GCF) of 81000 and 81006 is 6.

GCF(81000,81006) = 6

We will now calculate the prime factors of 81000 and 81006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81000 and 81006.

How to find the GCF of 81000 and 81006?

We will first find the prime factorization of 81000 and 81006. After we will calculate the factors of 81000 and 81006 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81006

Prime factors of 81006 are 2, 3, 23, 587. Prime factorization of 81006 in exponential form is:

81006 = 2¹ × 3¹ × 23¹ × 587¹

Step-3: Factors of 81000

List of positive integer factors of 81000 that divides 81000 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

Step-4: Factors of 81006

List of positive integer factors of 81006 that divides 81000 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 587, 1174, 1761, 3522, 13501, 27002, 40503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81000 and 81006. The biggest common factor number is the GCF number.
So the greatest common factor 81000 and 81006 is 6.

Also check out the Least Common Multiple of 81000 and 81006