What is the Greatest Common Factor of 8484 and 8499?

Greatest common factor (GCF) of 8484 and 8499 is 3.

GCF(8484,8499) = 3

We will now calculate the prime factors of 8484 and 8499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8484 and 8499.

How to find the GCF of 8484 and 8499?

We will first find the prime factorization of 8484 and 8499. After we will calculate the factors of 8484 and 8499 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 8499

Prime factors of 8499 are 3, 2833. Prime factorization of 8499 in exponential form is:

8499 = 3¹ × 2833¹

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 8499

List of positive integer factors of 8499 that divides 8484 without a remainder.

1, 3, 2833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8484 and 8499. The biggest common factor number is the GCF number.
So the greatest common factor 8484 and 8499 is 3.

Also check out the Least Common Multiple of 8484 and 8499