What is the Greatest Common Factor of 81000 and 81005?

Greatest common factor (GCF) of 81000 and 81005 is 5.

GCF(81000,81005) = 5

We will now calculate the prime factors of 81000 and 81005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81000 and 81005.

How to find the GCF of 81000 and 81005?

We will first find the prime factorization of 81000 and 81005. After we will calculate the factors of 81000 and 81005 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 81005

Prime factors of 81005 are 5, 17, 953. Prime factorization of 81005 in exponential form is:

81005 = 5¹ × 17¹ × 953¹

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 81005

List of positive integer factors of 81005 that divides 81000 without a remainder.

1, 5, 17, 85, 953, 4765, 16201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81000 and 81005. The biggest common factor number is the GCF number.
So the greatest common factor 81000 and 81005 is 5.

Also check out the Least Common Multiple of 81000 and 81005