What is the Greatest Common Factor of 8218 and 8225?

Greatest common factor (GCF) of 8218 and 8225 is 7.

GCF(8218,8225) = 7

We will now calculate the prime factors of 8218 and 8225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8218 and 8225.

How to find the GCF of 8218 and 8225?

We will first find the prime factorization of 8218 and 8225. After we will calculate the factors of 8218 and 8225 and find the biggest common factor number .

Step-1: Prime Factorization of 8218

Prime factors of 8218 are 2, 7, 587. Prime factorization of 8218 in exponential form is:

8218 = 2¹ × 7¹ × 587¹

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 8218

List of positive integer factors of 8218 that divides 8218 without a remainder.

1, 2, 7, 14, 587, 1174, 4109

Step-4: Factors of 8225

List of positive integer factors of 8225 that divides 8218 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 8218 and 8225. The biggest common factor number is the GCF number.
So the greatest common factor 8218 and 8225 is 7.

Also check out the Least Common Multiple of 8218 and 8225