What is the Greatest Common Factor of 20240 and 20250?

Greatest common factor (GCF) of 20240 and 20250 is 10.

GCF(20240,20250) = 10

We will now calculate the prime factors of 20240 and 20250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20240 and 20250.

How to find the GCF of 20240 and 20250?

We will first find the prime factorization of 20240 and 20250. After we will calculate the factors of 20240 and 20250 and find the biggest common factor number .

Step-1: Prime Factorization of 20240

Prime factors of 20240 are 2, 5, 11, 23. Prime factorization of 20240 in exponential form is:

20240 = 2⁴ × 5¹ × 11¹ × 23¹

Step-2: 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-3: Factors of 20240

List of positive integer factors of 20240 that divides 20240 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 40, 44, 46, 55, 80, 88, 92, 110, 115, 176, 184, 220, 230, 253, 368, 440, 460, 506, 880, 920, 1012, 1265, 1840, 2024, 2530, 4048, 5060, 10120

Step-4: Factors of 20250

List of positive integer factors of 20250 that divides 20240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20240 and 20250. The biggest common factor number is the GCF number.
So the greatest common factor 20240 and 20250 is 10.

Also check out the Least Common Multiple of 20240 and 20250