What is the Greatest Common Factor of 20250 and 20265?

Greatest common factor (GCF) of 20250 and 20265 is 15.

GCF(20250,20265) = 15

We will now calculate the prime factors of 20250 and 20265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20250 and 20265.

How to find the GCF of 20250 and 20265?

We will first find the prime factorization of 20250 and 20265. After we will calculate the factors of 20250 and 20265 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 20265

Prime factors of 20265 are 3, 5, 7, 193. Prime factorization of 20265 in exponential form is:

20265 = 3¹ × 5¹ × 7¹ × 193¹

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 20265

List of positive integer factors of 20265 that divides 20250 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 193, 579, 965, 1351, 2895, 4053, 6755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20250 and 20265. The biggest common factor number is the GCF number.
So the greatest common factor 20250 and 20265 is 15.

Also check out the Least Common Multiple of 20250 and 20265