What is the Greatest Common Factor of 8286 and 8300?

Greatest common factor (GCF) of 8286 and 8300 is 2.

GCF(8286,8300) = 2

We will now calculate the prime factors of 8286 and 8300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8286 and 8300.

How to find the GCF of 8286 and 8300?

We will first find the prime factorization of 8286 and 8300. After we will calculate the factors of 8286 and 8300 and find the biggest common factor number .

Step-1: Prime Factorization of 8286

Prime factors of 8286 are 2, 3, 1381. Prime factorization of 8286 in exponential form is:

8286 = 2¹ × 3¹ × 1381¹

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 8286

List of positive integer factors of 8286 that divides 8286 without a remainder.

1, 2, 3, 6, 1381, 2762, 4143

Step-4: Factors of 8300

List of positive integer factors of 8300 that divides 8286 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 8286 and 8300. The biggest common factor number is the GCF number.
So the greatest common factor 8286 and 8300 is 2.

Also check out the Least Common Multiple of 8286 and 8300