What is the Greatest Common Factor of 81000 and 81008?

Greatest common factor (GCF) of 81000 and 81008 is 8.

GCF(81000,81008) = 8

We will now calculate the prime factors of 81000 and 81008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81000 and 81008.

How to find the GCF of 81000 and 81008?

We will first find the prime factorization of 81000 and 81008. After we will calculate the factors of 81000 and 81008 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 81008

Prime factors of 81008 are 2, 61, 83. Prime factorization of 81008 in exponential form is:

81008 = 2⁴ × 61¹ × 83¹

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 81008

List of positive integer factors of 81008 that divides 81000 without a remainder.

1, 2, 4, 8, 16, 61, 83, 122, 166, 244, 332, 488, 664, 976, 1328, 5063, 10126, 20252, 40504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81000 and 81008. The biggest common factor number is the GCF number.
So the greatest common factor 81000 and 81008 is 8.

Also check out the Least Common Multiple of 81000 and 81008