What is the Greatest Common Factor of 8205 and 8225?

Greatest common factor (GCF) of 8205 and 8225 is 5.

GCF(8205,8225) = 5

We will now calculate the prime factors of 8205 and 8225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8205 and 8225.

How to find the GCF of 8205 and 8225?

We will first find the prime factorization of 8205 and 8225. After we will calculate the factors of 8205 and 8225 and find the biggest common factor number .

Step-1: Prime Factorization of 8205

Prime factors of 8205 are 3, 5, 547. Prime factorization of 8205 in exponential form is:

8205 = 3¹ × 5¹ × 547¹

Step-2: Prime Factorization of 8225

Prime factors of 8225 are 5, 7, 47. Prime factorization of 8225 in exponential form is:

8225 = 5² × 7¹ × 47¹

Step-3: Factors of 8205

List of positive integer factors of 8205 that divides 8205 without a remainder.

1, 3, 5, 15, 547, 1641, 2735

Step-4: Factors of 8225

List of positive integer factors of 8225 that divides 8205 without a remainder.

1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8205 and 8225. The biggest common factor number is the GCF number.
So the greatest common factor 8205 and 8225 is 5.

Also check out the Least Common Multiple of 8205 and 8225