What is the Greatest Common Factor of 5484 and 5488?

Greatest common factor (GCF) of 5484 and 5488 is 4.

GCF(5484,5488) = 4

We will now calculate the prime factors of 5484 and 5488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5484 and 5488.

How to find the GCF of 5484 and 5488?

We will first find the prime factorization of 5484 and 5488. After we will calculate the factors of 5484 and 5488 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 5488

Prime factors of 5488 are 2, 7. Prime factorization of 5488 in exponential form is:

5488 = 2⁴ × 7³

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 5488

List of positive integer factors of 5488 that divides 5484 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5484 and 5488. The biggest common factor number is the GCF number.
So the greatest common factor 5484 and 5488 is 4.

Also check out the Least Common Multiple of 5484 and 5488