What is the Greatest Common Factor of 8484 and 8500?

Greatest common factor (GCF) of 8484 and 8500 is 4.

GCF(8484,8500) = 4

We will now calculate the prime factors of 8484 and 8500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8484 and 8500.

How to find the GCF of 8484 and 8500?

We will first find the prime factorization of 8484 and 8500. After we will calculate the factors of 8484 and 8500 and find the biggest common factor number .

Step-1: Prime Factorization of 8484

Prime factors of 8484 are 2, 3, 7, 101. Prime factorization of 8484 in exponential form is:

8484 = 2² × 3¹ × 7¹ × 101¹

Step-2: Prime Factorization of 8500

Prime factors of 8500 are 2, 5, 17. Prime factorization of 8500 in exponential form is:

8500 = 2² × 5³ × 17¹

Step-3: Factors of 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242

Step-4: Factors of 8500

List of positive integer factors of 8500 that divides 8484 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8484 and 8500. The biggest common factor number is the GCF number.
So the greatest common factor 8484 and 8500 is 4.

Also check out the Least Common Multiple of 8484 and 8500