What is the Greatest Common Factor of 54480 and 54496?

Greatest common factor (GCF) of 54480 and 54496 is 16.

GCF(54480,54496) = 16

We will now calculate the prime factors of 54480 and 54496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54480 and 54496.

How to find the GCF of 54480 and 54496?

We will first find the prime factorization of 54480 and 54496. After we will calculate the factors of 54480 and 54496 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 54496

Prime factors of 54496 are 2, 13, 131. Prime factorization of 54496 in exponential form is:

54496 = 2⁵ × 13¹ × 131¹

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 54496

List of positive integer factors of 54496 that divides 54480 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 131, 208, 262, 416, 524, 1048, 1703, 2096, 3406, 4192, 6812, 13624, 27248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54480 and 54496. The biggest common factor number is the GCF number.
So the greatest common factor 54480 and 54496 is 16.

Also check out the Least Common Multiple of 54480 and 54496