What is the Greatest Common Factor of 8325 and 8330?

Greatest common factor (GCF) of 8325 and 8330 is 5.

GCF(8325,8330) = 5

We will now calculate the prime factors of 8325 and 8330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8325 and 8330.

How to find the GCF of 8325 and 8330?

We will first find the prime factorization of 8325 and 8330. After we will calculate the factors of 8325 and 8330 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 8330

Prime factors of 8330 are 2, 5, 7, 17. Prime factorization of 8330 in exponential form is:

8330 = 2¹ × 5¹ × 7² × 17¹

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 8330

List of positive integer factors of 8330 that divides 8325 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8325 and 8330. The biggest common factor number is the GCF number.
So the greatest common factor 8325 and 8330 is 5.

Also check out the Least Common Multiple of 8325 and 8330