What is the Greatest Common Factor of 8325 and 8331?

Greatest common factor (GCF) of 8325 and 8331 is 3.

GCF(8325,8331) = 3

We will now calculate the prime factors of 8325 and 8331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8325 and 8331.

How to find the GCF of 8325 and 8331?

We will first find the prime factorization of 8325 and 8331. After we will calculate the factors of 8325 and 8331 and find the biggest common factor number .

Step-1: Prime Factorization of 8325

Prime factors of 8325 are 3, 5, 37. Prime factorization of 8325 in exponential form is:

8325 = 3² × 5² × 37¹

Step-2: Prime Factorization of 8331

Prime factors of 8331 are 3, 2777. Prime factorization of 8331 in exponential form is:

8331 = 3¹ × 2777¹

Step-3: Factors of 8325

List of positive integer factors of 8325 that divides 8325 without a remainder.

1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775

Step-4: Factors of 8331

List of positive integer factors of 8331 that divides 8325 without a remainder.

1, 3, 2777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8325 and 8331. The biggest common factor number is the GCF number.
So the greatest common factor 8325 and 8331 is 3.

Also check out the Least Common Multiple of 8325 and 8331