What is the Greatest Common Factor of 54656 and 54672?

Greatest common factor (GCF) of 54656 and 54672 is 16.

GCF(54656,54672) = 16

We will now calculate the prime factors of 54656 and 54672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54656 and 54672.

How to find the GCF of 54656 and 54672?

We will first find the prime factorization of 54656 and 54672. After we will calculate the factors of 54656 and 54672 and find the biggest common factor number .

Step-1: Prime Factorization of 54656

Prime factors of 54656 are 2, 7, 61. Prime factorization of 54656 in exponential form is:

54656 = 2⁷ × 7¹ × 61¹

Step-2: Prime Factorization of 54672

Prime factors of 54672 are 2, 3, 17, 67. Prime factorization of 54672 in exponential form is:

54672 = 2⁴ × 3¹ × 17¹ × 67¹

Step-3: Factors of 54656

List of positive integer factors of 54656 that divides 54656 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 61, 64, 112, 122, 128, 224, 244, 427, 448, 488, 854, 896, 976, 1708, 1952, 3416, 3904, 6832, 7808, 13664, 27328

Step-4: Factors of 54672

List of positive integer factors of 54672 that divides 54656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 67, 68, 102, 134, 136, 201, 204, 268, 272, 402, 408, 536, 804, 816, 1072, 1139, 1608, 2278, 3216, 3417, 4556, 6834, 9112, 13668, 18224, 27336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54656 and 54672. The biggest common factor number is the GCF number.
So the greatest common factor 54656 and 54672 is 16.

Also check out the Least Common Multiple of 54656 and 54672