What is the Greatest Common Factor of 20250 and 20258?

Greatest common factor (GCF) of 20250 and 20258 is 2.

GCF(20250,20258) = 2

We will now calculate the prime factors of 20250 and 20258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20250 and 20258.

How to find the GCF of 20250 and 20258?

We will first find the prime factorization of 20250 and 20258. After we will calculate the factors of 20250 and 20258 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 20258

Prime factors of 20258 are 2, 7, 1447. Prime factorization of 20258 in exponential form is:

20258 = 2¹ × 7¹ × 1447¹

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 20258

List of positive integer factors of 20258 that divides 20250 without a remainder.

1, 2, 7, 14, 1447, 2894, 10129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20250 and 20258. The biggest common factor number is the GCF number.
So the greatest common factor 20250 and 20258 is 2.

Also check out the Least Common Multiple of 20250 and 20258