What is the Greatest Common Factor of 40488 and 40500?

Greatest common factor (GCF) of 40488 and 40500 is 12.

GCF(40488,40500) = 12

We will now calculate the prime factors of 40488 and 40500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40488 and 40500.

How to find the GCF of 40488 and 40500?

We will first find the prime factorization of 40488 and 40500. After we will calculate the factors of 40488 and 40500 and find the biggest common factor number .

Step-1: Prime Factorization of 40488

Prime factors of 40488 are 2, 3, 7, 241. Prime factorization of 40488 in exponential form is:

40488 = 2³ × 3¹ × 7¹ × 241¹

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 40488

List of positive integer factors of 40488 that divides 40488 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 241, 482, 723, 964, 1446, 1687, 1928, 2892, 3374, 5061, 5784, 6748, 10122, 13496, 20244

Step-4: Factors of 40500

List of positive integer factors of 40500 that divides 40488 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 40488 and 40500. The biggest common factor number is the GCF number.
So the greatest common factor 40488 and 40500 is 12.

Also check out the Least Common Multiple of 40488 and 40500