What is the Greatest Common Factor of 55776 and 55784?

Greatest common factor (GCF) of 55776 and 55784 is 8.

GCF(55776,55784) = 8

We will now calculate the prime factors of 55776 and 55784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55776 and 55784.

How to find the GCF of 55776 and 55784?

We will first find the prime factorization of 55776 and 55784. After we will calculate the factors of 55776 and 55784 and find the biggest common factor number .

Step-1: Prime Factorization of 55776

Prime factors of 55776 are 2, 3, 7, 83. Prime factorization of 55776 in exponential form is:

55776 = 2⁵ × 3¹ × 7¹ × 83¹

Step-2: Prime Factorization of 55784

Prime factors of 55784 are 2, 19, 367. Prime factorization of 55784 in exponential form is:

55784 = 2³ × 19¹ × 367¹

Step-3: Factors of 55776

List of positive integer factors of 55776 that divides 55776 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 83, 84, 96, 112, 166, 168, 224, 249, 332, 336, 498, 581, 664, 672, 996, 1162, 1328, 1743, 1992, 2324, 2656, 3486, 3984, 4648, 6972, 7968, 9296, 13944, 18592, 27888

Step-4: Factors of 55784

List of positive integer factors of 55784 that divides 55776 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 367, 734, 1468, 2936, 6973, 13946, 27892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55776 and 55784. The biggest common factor number is the GCF number.
So the greatest common factor 55776 and 55784 is 8.

Also check out the Least Common Multiple of 55776 and 55784