What is the Greatest Common Factor of 8289 and 8300?

Greatest common factor (GCF) of 8289 and 8300 is 1.

GCF(8289,8300) = 1

We will now calculate the prime factors of 8289 and 8300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8289 and 8300.

How to find the GCF of 8289 and 8300?

We will first find the prime factorization of 8289 and 8300. After we will calculate the factors of 8289 and 8300 and find the biggest common factor number .

Step-1: Prime Factorization of 8289

Prime factors of 8289 are 3, 307. Prime factorization of 8289 in exponential form is:

8289 = 3³ × 307¹

Step-2: 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-3: Factors of 8289

List of positive integer factors of 8289 that divides 8289 without a remainder.

1, 3, 9, 27, 307, 921, 2763

Step-4: Factors of 8300

List of positive integer factors of 8300 that divides 8289 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8289 and 8300. The biggest common factor number is the GCF number.
So the greatest common factor 8289 and 8300 is 1.

Also check out the Least Common Multiple of 8289 and 8300