What is the Greatest Common Factor of 40490 and 40500?

Greatest common factor (GCF) of 40490 and 40500 is 10.

GCF(40490,40500) = 10

We will now calculate the prime factors of 40490 and 40500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40490 and 40500.

How to find the GCF of 40490 and 40500?

We will first find the prime factorization of 40490 and 40500. After we will calculate the factors of 40490 and 40500 and find the biggest common factor number .

Step-1: Prime Factorization of 40490

Prime factors of 40490 are 2, 5, 4049. Prime factorization of 40490 in exponential form is:

40490 = 2¹ × 5¹ × 4049¹

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 40490

List of positive integer factors of 40490 that divides 40490 without a remainder.

1, 2, 5, 10, 4049, 8098, 20245

Step-4: Factors of 40500

List of positive integer factors of 40500 that divides 40490 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 40490 and 40500. The biggest common factor number is the GCF number.
So the greatest common factor 40490 and 40500 is 10.

Also check out the Least Common Multiple of 40490 and 40500