What is the Greatest Common Factor of 8225 and 8232?

Greatest common factor (GCF) of 8225 and 8232 is 7.

GCF(8225,8232) = 7

We will now calculate the prime factors of 8225 and 8232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8225 and 8232.

How to find the GCF of 8225 and 8232?

We will first find the prime factorization of 8225 and 8232. After we will calculate the factors of 8225 and 8232 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8232

Prime factors of 8232 are 2, 3, 7. Prime factorization of 8232 in exponential form is:

8232 = 2³ × 3¹ × 7³

Step-3: Factors of 8225

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

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

Step-4: Factors of 8232

List of positive integer factors of 8232 that divides 8225 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8225 and 8232. The biggest common factor number is the GCF number.
So the greatest common factor 8225 and 8232 is 7.

Also check out the Least Common Multiple of 8225 and 8232