What is the Greatest Common Factor of 81000 and 81007?

Greatest common factor (GCF) of 81000 and 81007 is 1.

GCF(81000,81007) = 1

We will now calculate the prime factors of 81000 and 81007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81000 and 81007.

How to find the GCF of 81000 and 81007?

We will first find the prime factorization of 81000 and 81007. After we will calculate the factors of 81000 and 81007 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 81007

Prime factors of 81007 are 59, 1373. Prime factorization of 81007 in exponential form is:

81007 = 59¹ × 1373¹

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 81007

List of positive integer factors of 81007 that divides 81000 without a remainder.

1, 59, 1373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81000 and 81007. The biggest common factor number is the GCF number.
So the greatest common factor 81000 and 81007 is 1.

Also check out the Least Common Multiple of 81000 and 81007