What is the Greatest Common Factor of 40500 and 40509?

Greatest common factor (GCF) of 40500 and 40509 is 9.

GCF(40500,40509) = 9

We will now calculate the prime factors of 40500 and 40509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40500 and 40509.

How to find the GCF of 40500 and 40509?

We will first find the prime factorization of 40500 and 40509. After we will calculate the factors of 40500 and 40509 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 40509

Prime factors of 40509 are 3, 7, 643. Prime factorization of 40509 in exponential form is:

40509 = 3² × 7¹ × 643¹

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 40509

List of positive integer factors of 40509 that divides 40500 without a remainder.

1, 3, 7, 9, 21, 63, 643, 1929, 4501, 5787, 13503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40500 and 40509. The biggest common factor number is the GCF number.
So the greatest common factor 40500 and 40509 is 9.

Also check out the Least Common Multiple of 40500 and 40509