What is the Greatest Common Factor of 20225 and 20240?

Greatest common factor (GCF) of 20225 and 20240 is 5.

GCF(20225,20240) = 5

We will now calculate the prime factors of 20225 and 20240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20225 and 20240.

How to find the GCF of 20225 and 20240?

We will first find the prime factorization of 20225 and 20240. After we will calculate the factors of 20225 and 20240 and find the biggest common factor number .

Step-1: Prime Factorization of 20225

Prime factors of 20225 are 5, 809. Prime factorization of 20225 in exponential form is:

20225 = 5² × 809¹

Step-2: 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-3: Factors of 20225

List of positive integer factors of 20225 that divides 20225 without a remainder.

1, 5, 25, 809, 4045

Step-4: Factors of 20240

List of positive integer factors of 20240 that divides 20225 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20225 and 20240. The biggest common factor number is the GCF number.
So the greatest common factor 20225 and 20240 is 5.

Also check out the Least Common Multiple of 20225 and 20240