What is the Greatest Common Factor of 54648 and 54656?

Greatest common factor (GCF) of 54648 and 54656 is 8.

GCF(54648,54656) = 8

We will now calculate the prime factors of 54648 and 54656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54648 and 54656.

How to find the GCF of 54648 and 54656?

We will first find the prime factorization of 54648 and 54656. After we will calculate the factors of 54648 and 54656 and find the biggest common factor number .

Step-1: Prime Factorization of 54648

Prime factors of 54648 are 2, 3, 11, 23. Prime factorization of 54648 in exponential form is:

54648 = 2³ × 3³ × 11¹ × 23¹

Step-2: 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-3: Factors of 54648

List of positive integer factors of 54648 that divides 54648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 23, 24, 27, 33, 36, 44, 46, 54, 66, 69, 72, 88, 92, 99, 108, 132, 138, 184, 198, 207, 216, 253, 264, 276, 297, 396, 414, 506, 552, 594, 621, 759, 792, 828, 1012, 1188, 1242, 1518, 1656, 2024, 2277, 2376, 2484, 3036, 4554, 4968, 6072, 6831, 9108, 13662, 18216, 27324

Step-4: Factors of 54656

List of positive integer factors of 54656 that divides 54648 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54648 and 54656. The biggest common factor number is the GCF number.
So the greatest common factor 54648 and 54656 is 8.

Also check out the Least Common Multiple of 54648 and 54656