What is the Greatest Common Factor of 20250 and 20259?

Greatest common factor (GCF) of 20250 and 20259 is 9.

GCF(20250,20259) = 9

We will now calculate the prime factors of 20250 and 20259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20250 and 20259.

How to find the GCF of 20250 and 20259?

We will first find the prime factorization of 20250 and 20259. After we will calculate the factors of 20250 and 20259 and find the biggest common factor number .

Step-1: Prime Factorization of 20250

Prime factors of 20250 are 2, 3, 5. Prime factorization of 20250 in exponential form is:

20250 = 2¹ × 3⁴ × 5³

Step-2: Prime Factorization of 20259

Prime factors of 20259 are 3, 2251. Prime factorization of 20259 in exponential form is:

20259 = 3² × 2251¹

Step-3: Factors of 20250

List of positive integer factors of 20250 that divides 20250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 125, 135, 150, 162, 225, 250, 270, 375, 405, 450, 675, 750, 810, 1125, 1350, 2025, 2250, 3375, 4050, 6750, 10125

Step-4: Factors of 20259

List of positive integer factors of 20259 that divides 20250 without a remainder.

1, 3, 9, 2251, 6753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20250 and 20259. The biggest common factor number is the GCF number.
So the greatest common factor 20250 and 20259 is 9.

Also check out the Least Common Multiple of 20250 and 20259