What is the Greatest Common Factor of 5484 and 5499?

Greatest common factor (GCF) of 5484 and 5499 is 3.

GCF(5484,5499) = 3

We will now calculate the prime factors of 5484 and 5499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5484 and 5499.

How to find the GCF of 5484 and 5499?

We will first find the prime factorization of 5484 and 5499. After we will calculate the factors of 5484 and 5499 and find the biggest common factor number .

Step-1: Prime Factorization of 5484

Prime factors of 5484 are 2, 3, 457. Prime factorization of 5484 in exponential form is:

5484 = 2² × 3¹ × 457¹

Step-2: Prime Factorization of 5499

Prime factors of 5499 are 3, 13, 47. Prime factorization of 5499 in exponential form is:

5499 = 3² × 13¹ × 47¹

Step-3: Factors of 5484

List of positive integer factors of 5484 that divides 5484 without a remainder.

1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742

Step-4: Factors of 5499

List of positive integer factors of 5499 that divides 5484 without a remainder.

1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5484 and 5499. The biggest common factor number is the GCF number.
So the greatest common factor 5484 and 5499 is 3.

Also check out the Least Common Multiple of 5484 and 5499