What is the Greatest Common Factor of 8300 and 8305?

Greatest common factor (GCF) of 8300 and 8305 is 5.

GCF(8300,8305) = 5

We will now calculate the prime factors of 8300 and 8305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8300 and 8305.

How to find the GCF of 8300 and 8305?

We will first find the prime factorization of 8300 and 8305. After we will calculate the factors of 8300 and 8305 and find the biggest common factor number .

Step-1: Prime Factorization of 8300

Prime factors of 8300 are 2, 5, 83. Prime factorization of 8300 in exponential form is:

8300 = 2² × 5² × 83¹

Step-2: Prime Factorization of 8305

Prime factors of 8305 are 5, 11, 151. Prime factorization of 8305 in exponential form is:

8305 = 5¹ × 11¹ × 151¹

Step-3: Factors of 8300

List of positive integer factors of 8300 that divides 8300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150

Step-4: Factors of 8305

List of positive integer factors of 8305 that divides 8300 without a remainder.

1, 5, 11, 55, 151, 755, 1661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8300 and 8305. The biggest common factor number is the GCF number.
So the greatest common factor 8300 and 8305 is 5.

Also check out the Least Common Multiple of 8300 and 8305