What is the Greatest Common Factor of 20250 and 20255?

Greatest common factor (GCF) of 20250 and 20255 is 5.

GCF(20250,20255) = 5

We will now calculate the prime factors of 20250 and 20255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20250 and 20255.

How to find the GCF of 20250 and 20255?

We will first find the prime factorization of 20250 and 20255. After we will calculate the factors of 20250 and 20255 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 20255

Prime factors of 20255 are 5, 4051. Prime factorization of 20255 in exponential form is:

20255 = 5¹ × 4051¹

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 20255

List of positive integer factors of 20255 that divides 20250 without a remainder.

1, 5, 4051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20250 and 20255. The biggest common factor number is the GCF number.
So the greatest common factor 20250 and 20255 is 5.

Also check out the Least Common Multiple of 20250 and 20255