What is the Greatest Common Factor of 54464 and 54480?

Greatest common factor (GCF) of 54464 and 54480 is 16.

GCF(54464,54480) = 16

We will now calculate the prime factors of 54464 and 54480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54464 and 54480.

How to find the GCF of 54464 and 54480?

We will first find the prime factorization of 54464 and 54480. After we will calculate the factors of 54464 and 54480 and find the biggest common factor number .

Step-1: Prime Factorization of 54464

Prime factors of 54464 are 2, 23, 37. Prime factorization of 54464 in exponential form is:

54464 = 2⁶ × 23¹ × 37¹

Step-2: 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-3: Factors of 54464

List of positive integer factors of 54464 that divides 54464 without a remainder.

1, 2, 4, 8, 16, 23, 32, 37, 46, 64, 74, 92, 148, 184, 296, 368, 592, 736, 851, 1184, 1472, 1702, 2368, 3404, 6808, 13616, 27232

Step-4: Factors of 54480

List of positive integer factors of 54480 that divides 54464 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54464 and 54480. The biggest common factor number is the GCF number.
So the greatest common factor 54464 and 54480 is 16.

Also check out the Least Common Multiple of 54464 and 54480