What is the Greatest Common Factor of 5475 and 5484?

Greatest common factor (GCF) of 5475 and 5484 is 3.

GCF(5475,5484) = 3

We will now calculate the prime factors of 5475 and 5484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5475 and 5484.

How to find the GCF of 5475 and 5484?

We will first find the prime factorization of 5475 and 5484. After we will calculate the factors of 5475 and 5484 and find the biggest common factor number .

Step-1: Prime Factorization of 5475

Prime factors of 5475 are 3, 5, 73. Prime factorization of 5475 in exponential form is:

5475 = 3¹ × 5² × 73¹

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 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825

Step-4: Factors of 5484

List of positive integer factors of 5484 that divides 5475 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 5475 and 5484. The biggest common factor number is the GCF number.
So the greatest common factor 5475 and 5484 is 3.

Also check out the Least Common Multiple of 5475 and 5484