What is the Greatest Common Factor of 54864 and 54880?

Greatest common factor (GCF) of 54864 and 54880 is 16.

GCF(54864,54880) = 16

We will now calculate the prime factors of 54864 and 54880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54864 and 54880.

How to find the GCF of 54864 and 54880?

We will first find the prime factorization of 54864 and 54880. After we will calculate the factors of 54864 and 54880 and find the biggest common factor number .

Step-1: Prime Factorization of 54864

Prime factors of 54864 are 2, 3, 127. Prime factorization of 54864 in exponential form is:

54864 = 2⁴ × 3³ × 127¹

Step-2: Prime Factorization of 54880

Prime factors of 54880 are 2, 5, 7. Prime factorization of 54880 in exponential form is:

54880 = 2⁵ × 5¹ × 7³

Step-3: Factors of 54864

List of positive integer factors of 54864 that divides 54864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 127, 144, 216, 254, 381, 432, 508, 762, 1016, 1143, 1524, 2032, 2286, 3048, 3429, 4572, 6096, 6858, 9144, 13716, 18288, 27432

Step-4: Factors of 54880

List of positive integer factors of 54880 that divides 54864 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 343, 392, 490, 560, 686, 784, 980, 1120, 1372, 1568, 1715, 1960, 2744, 3430, 3920, 5488, 6860, 7840, 10976, 13720, 27440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54864 and 54880. The biggest common factor number is the GCF number.
So the greatest common factor 54864 and 54880 is 16.

Also check out the Least Common Multiple of 54864 and 54880