What is the Greatest Common Factor of 54480 and 54499?

Greatest common factor (GCF) of 54480 and 54499 is 1.

GCF(54480,54499) = 1

We will now calculate the prime factors of 54480 and 54499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54480 and 54499.

How to find the GCF of 54480 and 54499?

We will first find the prime factorization of 54480 and 54499. After we will calculate the factors of 54480 and 54499 and find the biggest common factor number .

Step-1: Prime Factorization of 54480

Prime factors of 54480 are 2, 3, 5, 227. Prime factorization of 54480 in exponential form is:

54480 = 2⁴ × 3¹ × 5¹ × 227¹

Step-2: Prime Factorization of 54499

Prime factors of 54499 are 54499. Prime factorization of 54499 in exponential form is:

54499 = 54499¹

Step-3: Factors of 54480

List of positive integer factors of 54480 that divides 54480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 227, 240, 454, 681, 908, 1135, 1362, 1816, 2270, 2724, 3405, 3632, 4540, 5448, 6810, 9080, 10896, 13620, 18160, 27240

Step-4: Factors of 54499

List of positive integer factors of 54499 that divides 54480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54480 and 54499. The biggest common factor number is the GCF number.
So the greatest common factor 54480 and 54499 is 1.

Also check out the Least Common Multiple of 54480 and 54499