What is the Greatest Common Factor of 54648 and 54663?

Greatest common factor (GCF) of 54648 and 54663 is 3.

GCF(54648,54663) = 3

We will now calculate the prime factors of 54648 and 54663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54648 and 54663.

How to find the GCF of 54648 and 54663?

We will first find the prime factorization of 54648 and 54663. After we will calculate the factors of 54648 and 54663 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 54663

Prime factors of 54663 are 3, 7, 19, 137. Prime factorization of 54663 in exponential form is:

54663 = 3¹ × 7¹ × 19¹ × 137¹

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 54663

List of positive integer factors of 54663 that divides 54648 without a remainder.

1, 3, 7, 19, 21, 57, 133, 137, 399, 411, 959, 2603, 2877, 7809, 18221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54648 and 54663. The biggest common factor number is the GCF number.
So the greatest common factor 54648 and 54663 is 3.

Also check out the Least Common Multiple of 54648 and 54663