What is the Greatest Common Factor of 54876 and 54896?

Greatest common factor (GCF) of 54876 and 54896 is 4.

GCF(54876,54896) = 4

We will now calculate the prime factors of 54876 and 54896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54876 and 54896.

How to find the GCF of 54876 and 54896?

We will first find the prime factorization of 54876 and 54896. After we will calculate the factors of 54876 and 54896 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 54896

Prime factors of 54896 are 2, 47, 73. Prime factorization of 54896 in exponential form is:

54896 = 2⁴ × 47¹ × 73¹

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 54896

List of positive integer factors of 54896 that divides 54876 without a remainder.

1, 2, 4, 8, 16, 47, 73, 94, 146, 188, 292, 376, 584, 752, 1168, 3431, 6862, 13724, 27448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54876 and 54896. The biggest common factor number is the GCF number.
So the greatest common factor 54876 and 54896 is 4.

Also check out the Least Common Multiple of 54876 and 54896