What is the Greatest Common Factor of 54784 and 54796?

Greatest common factor (GCF) of 54784 and 54796 is 4.

GCF(54784,54796) = 4

We will now calculate the prime factors of 54784 and 54796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54784 and 54796.

How to find the GCF of 54784 and 54796?

We will first find the prime factorization of 54784 and 54796. After we will calculate the factors of 54784 and 54796 and find the biggest common factor number .

Step-1: Prime Factorization of 54784

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

54784 = 2⁹ × 107¹

Step-2: Prime Factorization of 54796

Prime factors of 54796 are 2, 7, 19, 103. Prime factorization of 54796 in exponential form is:

54796 = 2² × 7¹ × 19¹ × 103¹

Step-3: Factors of 54784

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

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

Step-4: Factors of 54796

List of positive integer factors of 54796 that divides 54784 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 103, 133, 206, 266, 412, 532, 721, 1442, 1957, 2884, 3914, 7828, 13699, 27398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54784 and 54796. The biggest common factor number is the GCF number.
So the greatest common factor 54784 and 54796 is 4.

Also check out the Least Common Multiple of 54784 and 54796