What is the Greatest Common Factor of 40480 and 40500?

Greatest common factor (GCF) of 40480 and 40500 is 20.

GCF(40480,40500) = 20

We will now calculate the prime factors of 40480 and 40500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40480 and 40500.

How to find the GCF of 40480 and 40500?

We will first find the prime factorization of 40480 and 40500. After we will calculate the factors of 40480 and 40500 and find the biggest common factor number .

Step-1: Prime Factorization of 40480

Prime factors of 40480 are 2, 5, 11, 23. Prime factorization of 40480 in exponential form is:

40480 = 2⁵ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 40500

Prime factors of 40500 are 2, 3, 5. Prime factorization of 40500 in exponential form is:

40500 = 2² × 3⁴ × 5³

Step-3: Factors of 40480

List of positive integer factors of 40480 that divides 40480 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 32, 40, 44, 46, 55, 80, 88, 92, 110, 115, 160, 176, 184, 220, 230, 253, 352, 368, 440, 460, 506, 736, 880, 920, 1012, 1265, 1760, 1840, 2024, 2530, 3680, 4048, 5060, 8096, 10120, 20240

Step-4: Factors of 40500

List of positive integer factors of 40500 that divides 40480 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 125, 135, 150, 162, 180, 225, 250, 270, 300, 324, 375, 405, 450, 500, 540, 675, 750, 810, 900, 1125, 1350, 1500, 1620, 2025, 2250, 2700, 3375, 4050, 4500, 6750, 8100, 10125, 13500, 20250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40480 and 40500. The biggest common factor number is the GCF number.
So the greatest common factor 40480 and 40500 is 20.

Also check out the Least Common Multiple of 40480 and 40500