What is the Greatest Common Factor of 54876 and 54880?

Greatest common factor (GCF) of 54876 and 54880 is 4.

GCF(54876,54880) = 4

We will now calculate the prime factors of 54876 and 54880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54876 and 54880.

How to find the GCF of 54876 and 54880?

We will first find the prime factorization of 54876 and 54880. After we will calculate the factors of 54876 and 54880 and find the biggest common factor number .

Step-1: Prime Factorization of 54876

Prime factors of 54876 are 2, 3, 17, 269. Prime factorization of 54876 in exponential form is:

54876 = 2² × 3¹ × 17¹ × 269¹

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 54876

List of positive integer factors of 54876 that divides 54876 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 269, 538, 807, 1076, 1614, 3228, 4573, 9146, 13719, 18292, 27438

Step-4: Factors of 54880

List of positive integer factors of 54880 that divides 54876 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 54876 and 54880. The biggest common factor number is the GCF number.
So the greatest common factor 54876 and 54880 is 4.

Also check out the Least Common Multiple of 54876 and 54880