What is the Greatest Common Factor of 54768 and 54784?

Greatest common factor (GCF) of 54768 and 54784 is 16.

GCF(54768,54784) = 16

We will now calculate the prime factors of 54768 and 54784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54768 and 54784.

How to find the GCF of 54768 and 54784?

We will first find the prime factorization of 54768 and 54784. After we will calculate the factors of 54768 and 54784 and find the biggest common factor number .

Step-1: Prime Factorization of 54768

Prime factors of 54768 are 2, 3, 7, 163. Prime factorization of 54768 in exponential form is:

54768 = 2⁴ × 3¹ × 7¹ × 163¹

Step-2: Prime Factorization of 54784

Prime factors of 54784 are 2, 107. Prime factorization of 54784 in exponential form is:

54784 = 2⁹ × 107¹

Step-3: Factors of 54768

List of positive integer factors of 54768 that divides 54768 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 163, 168, 326, 336, 489, 652, 978, 1141, 1304, 1956, 2282, 2608, 3423, 3912, 4564, 6846, 7824, 9128, 13692, 18256, 27384

Step-4: Factors of 54784

List of positive integer factors of 54784 that divides 54768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 107, 128, 214, 256, 428, 512, 856, 1712, 3424, 6848, 13696, 27392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54768 and 54784. The biggest common factor number is the GCF number.
So the greatest common factor 54768 and 54784 is 16.

Also check out the Least Common Multiple of 54768 and 54784