What is the Greatest Common Factor of 5469 and 5484?

Greatest common factor (GCF) of 5469 and 5484 is 3.

GCF(5469,5484) = 3

We will now calculate the prime factors of 5469 and 5484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5469 and 5484.

How to find the GCF of 5469 and 5484?

We will first find the prime factorization of 5469 and 5484. After we will calculate the factors of 5469 and 5484 and find the biggest common factor number .

Step-1: Prime Factorization of 5469

Prime factors of 5469 are 3, 1823. Prime factorization of 5469 in exponential form is:

5469 = 3¹ × 1823¹

Step-2: 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-3: Factors of 5469

List of positive integer factors of 5469 that divides 5469 without a remainder.

1, 3, 1823

Step-4: Factors of 5484

List of positive integer factors of 5484 that divides 5469 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5469 and 5484. The biggest common factor number is the GCF number.
So the greatest common factor 5469 and 5484 is 3.

Also check out the Least Common Multiple of 5469 and 5484