What is the Greatest Common Factor of 40500 and 40514?

Greatest common factor (GCF) of 40500 and 40514 is 2.

GCF(40500,40514) = 2

We will now calculate the prime factors of 40500 and 40514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40500 and 40514.

How to find the GCF of 40500 and 40514?

We will first find the prime factorization of 40500 and 40514. After we will calculate the factors of 40500 and 40514 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 40514

Prime factors of 40514 are 2, 47, 431. Prime factorization of 40514 in exponential form is:

40514 = 2¹ × 47¹ × 431¹

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 40514

List of positive integer factors of 40514 that divides 40500 without a remainder.

1, 2, 47, 94, 431, 862, 20257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40500 and 40514. The biggest common factor number is the GCF number.
So the greatest common factor 40500 and 40514 is 2.

Also check out the Least Common Multiple of 40500 and 40514