What is the Greatest Common Factor of 40500 and 40512?

Greatest common factor (GCF) of 40500 and 40512 is 12.

GCF(40500,40512) = 12

We will now calculate the prime factors of 40500 and 40512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40500 and 40512.

How to find the GCF of 40500 and 40512?

We will first find the prime factorization of 40500 and 40512. After we will calculate the factors of 40500 and 40512 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40512

Prime factors of 40512 are 2, 3, 211. Prime factorization of 40512 in exponential form is:

40512 = 2⁶ × 3¹ × 211¹

Step-3: Factors of 40500

List of positive integer factors of 40500 that divides 40500 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

Step-4: Factors of 40512

List of positive integer factors of 40512 that divides 40500 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 211, 422, 633, 844, 1266, 1688, 2532, 3376, 5064, 6752, 10128, 13504, 20256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40500 and 40512. The biggest common factor number is the GCF number.
So the greatest common factor 40500 and 40512 is 12.

Also check out the Least Common Multiple of 40500 and 40512